Approximating codimension ⩾3 σ-compacta with locally homotopically unknotted embeddings
The proof of Štan'ko's embedding approximation theorem is simplified and extended to a relative version for non-locally-compact σ-compact subsets of arbitrary topological manifolds.
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| Published in | Topology and its applications Vol. 24; no. 1; pp. 95 - 122 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier B.V
1986
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| Subjects | |
| Online Access | Get full text |
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| Abstract | The proof of Štan'ko's embedding approximation theorem is simplified and extended to a relative version for non-locally-compact σ-compact subsets of arbitrary topological manifolds. |
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| AbstractList | The proof of Štan'ko's embedding approximation theorem is simplified and extended to a relative version for non-locally-compact σ-compact subsets of arbitrary topological manifolds. |
| Author | Edwards, Robert D |
| Author_xml | – sequence: 1 givenname: Robert D surname: Edwards fullname: Edwards, Robert D organization: Department of Mathematics, University of California, Los Angeles, CA 90024, USA |
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| Cites_doi | 10.2307/1970867 10.1090/S0002-9904-1973-13190-8 10.4064/fm-54-3-251-258 10.1093/qmath/19.1.257 10.1090/S0002-9904-1963-10998-2 10.2307/2372864 10.1090/S0002-9939-1969-0244973-1 10.1215/S0012-7094-72-03977-4 10.1090/S0002-9939-1950-0033530-3 10.1215/S0012-7094-71-03834-8 10.2307/2371708 10.1215/S0012-7094-72-03909-9 10.1016/0040-9383(68)90027-X 10.1090/S0002-9939-1971-0281177-X 10.1090/S0002-9947-1972-0307245-7 10.4064/fm-79-1-63-77 10.1090/S0002-9939-1969-0246267-7 10.1070/SM1970v012n02ABEH000919 10.1307/mmj/1028999787 10.1090/S0002-9947-1951-0043452-5 10.2307/1969804 10.1090/S0002-9947-1967-0208583-7 10.2307/2317586 |
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| Copyright | 1986 |
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| Keywords | p-LCC majorant locally homotopically unknotted 57N60 57N37 57N35 pseudoisotopy dimension embedding |
| Language | English |
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| References | Waldhausen (BIB37) 1968; 7 Štan'ko, Štan'ko (BIB35) 1971; 201 Newman (BIB29) 1950; 1 Stallings (BIB32) 1966; 60 Keldyš, Keldyš (BIB23) 1966; 169 Bryant (BIB8) 1972; 170 Finney (BIB20) 1968; 15 Bing (BIB2) 1951; 71 Dugundji (BIB17) 1966 Hurewicz, Wallman (BIB22) 1948 Urner (BIB36) 1973 Štan'ko, Štan'ko (BIB34) 1971; 198 Černavskiǐ (BIB13) 1973 Daverman (BIB16) 1973; 79 J. Bryant, R. Edwards and C.L. Seebeck III, Approximating codimension one submanifolds with locally homotopically unknotted embeddings. Marin, Visetti (BIB25) 1973 Eilenberg, Wilder (BIB19) 1942; 64 Bothe (BIB5) 1964; 54 Kwak (BIB24) 1972; 39 Daverman (BIB15) 1972; 39 Edwards (BIB18) 1974 Bryant, Ungar (BIB11) 1972; 79 Seebeck (BIB30) 1971; 29 Bryant (BIB7) 1971; 38 Anderson (BIB1) 1967; 14 McMillan, Row (BIB27) 1969; 22 Bing (BIB3) 1952; 56 Zeeman (BIB38) 1966 Daverman (BIB14) 1973; 74 Cantrell (BIB12) 1963; 69 Bryant (BIB6) 1969; 23 Siebenmann (BIB31) July 1973 McMillan (BIB26) 1967; 126 Miller (BIB28) 1972; 95 Štan'ko, Štan'ko, Štan'ko, Štan'ko (BIB33) 1970; 83 Fox (BIB21) 1962 Bing (BIB4) 1962; 84 Bryant, Seebeck (BIB10) 1968; 19 Zeeman (10.1016/0166-8641(86)90052-0_BIB38) 1966 Bing (10.1016/0166-8641(86)90052-0_BIB3) 1952; 56 Urner (10.1016/0166-8641(86)90052-0_BIB36) 1973 Bryant (10.1016/0166-8641(86)90052-0_BIB7) 1971; 38 Siebenmann (10.1016/0166-8641(86)90052-0_BIB31) 1973 Bryant (10.1016/0166-8641(86)90052-0_BIB10) 1968; 19 Štan'ko (10.1016/0166-8641(86)90052-0_BIB33_1) 1970; 83 Hurewicz (10.1016/0166-8641(86)90052-0_BIB22) 1948 Bryant (10.1016/0166-8641(86)90052-0_BIB8) 1972; 170 McMillan (10.1016/0166-8641(86)90052-0_BIB26) 1967; 126 10.1016/0166-8641(86)90052-0_BIB9 Edwards (10.1016/0166-8641(86)90052-0_BIB18) 1974 Daverman (10.1016/0166-8641(86)90052-0_BIB16) 1973; 79 Miller (10.1016/0166-8641(86)90052-0_BIB28) 1972; 95 Bothe (10.1016/0166-8641(86)90052-0_BIB5) 1964; 54 Daverman (10.1016/0166-8641(86)90052-0_BIB14) 1973; 74 Dugundji (10.1016/0166-8641(86)90052-0_BIB17) 1966 Štan'ko (10.1016/0166-8641(86)90052-0_BIB33_4) 1969; 10 Černavskiǐ (10.1016/0166-8641(86)90052-0_BIB13) 1973 Štan'ko (10.1016/0166-8641(86)90052-0_BIB35_1) 1971; 201 Cantrell (10.1016/0166-8641(86)90052-0_BIB12) 1963; 69 Štan'ko (10.1016/0166-8641(86)90052-0_BIB33_2) 1970; 12 Keldyš (10.1016/0166-8641(86)90052-0_BIB23_2) 1966; 7 Newman (10.1016/0166-8641(86)90052-0_BIB29) 1950; 1 Bing (10.1016/0166-8641(86)90052-0_BIB4) 1962; 84 Daverman (10.1016/0166-8641(86)90052-0_BIB15) 1972; 39 McMillan (10.1016/0166-8641(86)90052-0_BIB27) 1969; 22 Kwak (10.1016/0166-8641(86)90052-0_BIB24) 1972; 39 Keldyš (10.1016/0166-8641(86)90052-0_BIB23_1) 1966; 169 Marin (10.1016/0166-8641(86)90052-0_BIB25) 1973 Štan'ko (10.1016/0166-8641(86)90052-0_BIB35_2) 1971; 12 Seebeck (10.1016/0166-8641(86)90052-0_BIB30) 1971; 29 Stallings (10.1016/0166-8641(86)90052-0_BIB32) 1966; 60 Štan'ko (10.1016/0166-8641(86)90052-0_BIB33_3) 1969; 86 Štan'ko (10.1016/0166-8641(86)90052-0_BIB34_2) 1971; 12 Bing (10.1016/0166-8641(86)90052-0_BIB2) 1951; 71 Anderson (10.1016/0166-8641(86)90052-0_BIB1) 1967; 14 Bryant (10.1016/0166-8641(86)90052-0_BIB6) 1969; 23 Fox (10.1016/0166-8641(86)90052-0_BIB21) 1962 Eilenberg (10.1016/0166-8641(86)90052-0_BIB19) 1942; 64 Štan'ko (10.1016/0166-8641(86)90052-0_BIB34_1) 1971; 198 Bryant (10.1016/0166-8641(86)90052-0_BIB11) 1972; 79 Finney (10.1016/0166-8641(86)90052-0_BIB20) 1968; 15 Waldhausen (10.1016/0166-8641(86)90052-0_BIB37) 1968; 7 |
| References_xml | – volume: 39 start-page: 719 year: 1972 end-page: 723 ident: BIB15 article-title: Pushing an ( publication-title: Duke Math. J. contributor: fullname: Daverman – volume: 39 start-page: 65 year: 1972 end-page: 75 ident: BIB24 article-title: Imbedding of compact metric spaces into cubes publication-title: Duke Math. J. contributor: fullname: Kwak – volume: 95 start-page: 406 year: 1972 end-page: 416 ident: BIB28 article-title: Approximating codimension three embeddings publication-title: Ann. of Math. contributor: fullname: Miller – year: 1948 ident: BIB22 article-title: Dimension Theory contributor: fullname: Wallman – year: 1966 ident: BIB38 article-title: Seminar on Combinatorial Topology contributor: fullname: Zeeman – year: July 1973 ident: BIB31 article-title: An alternative proof of Miller's approximation theorem publication-title: Santa Barbara Conference contributor: fullname: Siebenmann – volume: 60 start-page: 83 year: 1966 end-page: 88 ident: BIB32 article-title: How not to prove the Poincaré conjecture publication-title: Ann. of Math. Studies contributor: fullname: Stallings – volume: 7 start-page: 195 year: 1968 end-page: 203 ident: BIB37 article-title: Heegaard-Zerlegungen der 3-Sphäre publication-title: Topology contributor: fullname: Waldhausen – volume: 22 start-page: 378 year: 1969 end-page: 385 ident: BIB27 article-title: Tangled embeddings of one-dimensional continua publication-title: Proc. Amer. Math. Soc. contributor: fullname: Row – volume: 198 start-page: 783 year: 1971 end-page: 786 ident: BIB34 article-title: Approximation of imbeddings of compacta in codimensions greater than two publication-title: Dokil. Akad. Nauk SSSR contributor: fullname: Štan'ko – year: 1973 ident: BIB25 article-title: A general proof of Bing's shrinkability criterion publication-title: Orsay contributor: fullname: Visetti – volume: 14 start-page: 365 year: 1967 end-page: 383 ident: BIB1 article-title: On topological infinite deficiency publication-title: Michigan Math. J. contributor: fullname: Anderson – volume: 71 start-page: 267 year: 1951 end-page: 273 ident: BIB2 article-title: Higher dimensional hereditarily indecomposable continua publication-title: Trans. Amer. Math. Soc. contributor: fullname: Bing – volume: 54 start-page: 251 year: 1964 end-page: 258 ident: BIB5 article-title: Ein eindimensionales Kompaktum in publication-title: Fund. Math. contributor: fullname: Bothe – volume: 29 start-page: 197 year: 1971 end-page: 201 ident: BIB30 article-title: Tame arcs on wild cells publication-title: Proc. Amer. Math. Soc. contributor: fullname: Seebeck – volume: 169 start-page: 1078 year: 1966 end-page: 1082 ident: BIB23 article-title: Topological imbeddings and pseudoisotopy publication-title: Dokl. Akad. Nauk SSSR contributor: fullname: Keldyš – volume: 15 start-page: 942 year: 1968 ident: BIB20 article-title: Uniform limits of compact cell-like maps publication-title: Notices Amer. Math. Soc. contributor: fullname: Finney – volume: 83 start-page: 234 year: 1970 end-page: 255 ident: BIB33 article-title: The embedding of compacta in euclidean space publication-title: Mat. Sbornik contributor: fullname: Štan'ko – volume: 170 start-page: 85 year: 1972 end-page: 95 ident: BIB8 article-title: Approximating embeddings of polyhedra in codimension three publication-title: Trans. Amer. Math. Soc. contributor: fullname: Bryant – volume: 79 start-page: 410 year: 1973 end-page: 413 ident: BIB16 article-title: Locally nice codimension one manifolds are locally flat publication-title: Bull. Amer. Math. Soc. contributor: fullname: Daverman – year: 1973 ident: BIB36 article-title: Topological general position publication-title: Ph.D. thesis contributor: fullname: Urner – volume: 126 start-page: 217 year: 1967 end-page: 224 ident: BIB26 article-title: A criterion for cellularity in a manifold. II publication-title: Trans. Amer. Math. Soc. contributor: fullname: McMillan – volume: 84 start-page: 583 year: 1962 end-page: 590 ident: BIB4 article-title: Each disk in publication-title: Amer. J. Math. contributor: fullname: Bing – start-page: 120 year: 1962 end-page: 167 ident: BIB21 article-title: A quick trip through knot theory publication-title: Topology of 3-Manifolds and Related Topics contributor: fullname: Fox – volume: 69 start-page: 716 year: 1963 end-page: 718 ident: BIB12 article-title: Almost locally flat embeddings of publication-title: Bull. Amer. Math. Soc. contributor: fullname: Cantrell – volume: 74 start-page: 63 year: 1973 end-page: 77 ident: BIB14 article-title: On the scarcity of tame disks in certain wild cells publication-title: Fund. Math. contributor: fullname: Daverman – volume: 56 start-page: 354 year: 1952 end-page: 362 ident: BIB3 article-title: A homeomorphism between the 3-sphere and the sum of two solid horned spheres publication-title: Ann. of Math. contributor: fullname: Bing – year: 1974 ident: BIB18 article-title: Demension theory publication-title: Proceedings of the Utah Geometric Topology Conference contributor: fullname: Edwards – year: 1966 ident: BIB17 article-title: Topology contributor: fullname: Dugundji – volume: 79 start-page: 528 year: 1972 end-page: 529 ident: BIB11 article-title: Non-intersecting arcs for nearby points (advanced problem & solution) publication-title: Amer. Math. Monthly contributor: fullname: Ungar – volume: 23 start-page: 46 year: 1969 end-page: 51 ident: BIB6 article-title: On embeddings of compacta in euclidean space publication-title: Proc. Amer. Math. Soc. contributor: fullname: Bryant – year: 1973 ident: BIB13 publication-title: Coincidence of local flatness and local one-connectedness for embeddings of ( contributor: fullname: Černavskiǐ – volume: 64 start-page: 613 year: 1942 end-page: 622 ident: BIB19 article-title: Uniform local connectedness and contractibility publication-title: Amer. J. Math. contributor: fullname: Wilder – volume: 1 start-page: 44 year: 1950 end-page: 53 ident: BIB29 article-title: Local connection in locally compact spaces publication-title: Proc. Amer. Math. Soc. contributor: fullname: Newman – volume: 38 start-page: 265 year: 1971 end-page: 270 ident: BIB7 article-title: On embeddings of 1-dimensional compacta in publication-title: Duke Math. J. contributor: fullname: Bryant – volume: 201 start-page: 1299 year: 1971 end-page: 1302 ident: BIB35 article-title: Solution of Menger's problem in the class of compacta publication-title: Dokl. Akad. Nauk SSSR contributor: fullname: Štan'ko – volume: 19 start-page: 257 year: 1968 end-page: 274 ident: BIB10 article-title: Locally nice embeddings of polyhedra publication-title: Quart. J. Math. Oxford Ser. contributor: fullname: Seebeck – volume: 95 start-page: 406 year: 1972 ident: 10.1016/0166-8641(86)90052-0_BIB28 article-title: Approximating codimension three embeddings publication-title: Ann. of Math. doi: 10.2307/1970867 contributor: fullname: Miller – year: 1966 ident: 10.1016/0166-8641(86)90052-0_BIB38 contributor: fullname: Zeeman – volume: 79 start-page: 410 year: 1973 ident: 10.1016/0166-8641(86)90052-0_BIB16 article-title: Locally nice codimension one manifolds are locally flat publication-title: Bull. Amer. Math. Soc. doi: 10.1090/S0002-9904-1973-13190-8 contributor: fullname: Daverman – volume: 54 start-page: 251 year: 1964 ident: 10.1016/0166-8641(86)90052-0_BIB5 article-title: Ein eindimensionales Kompaktum in E3, das sich nicht lagetreu in die Mengersche Universalkurve einbetten lässt publication-title: Fund. Math. doi: 10.4064/fm-54-3-251-258 contributor: fullname: Bothe – volume: 19 start-page: 257 year: 1968 ident: 10.1016/0166-8641(86)90052-0_BIB10 article-title: Locally nice embeddings of polyhedra publication-title: Quart. J. Math. Oxford Ser. doi: 10.1093/qmath/19.1.257 contributor: fullname: Bryant – volume: 69 start-page: 716 year: 1963 ident: 10.1016/0166-8641(86)90052-0_BIB12 article-title: Almost locally flat embeddings of Sn-1 in Sn publication-title: Bull. Amer. Math. Soc. doi: 10.1090/S0002-9904-1963-10998-2 contributor: fullname: Cantrell – volume: 83 issue: 125 year: 1970 ident: 10.1016/0166-8641(86)90052-0_BIB33_1 article-title: The embedding of compacta in euclidean space publication-title: Mat. Sbornik contributor: fullname: Štan'ko – volume: 84 start-page: 583 year: 1962 ident: 10.1016/0166-8641(86)90052-0_BIB4 article-title: Each disk in E3 contains a tame arc publication-title: Amer. J. Math. doi: 10.2307/2372864 contributor: fullname: Bing – volume: 23 start-page: 46 year: 1969 ident: 10.1016/0166-8641(86)90052-0_BIB6 article-title: On embeddings of compacta in euclidean space publication-title: Proc. Amer. Math. Soc. doi: 10.1090/S0002-9939-1969-0244973-1 contributor: fullname: Bryant – volume: 12 start-page: 906 year: 1971 ident: 10.1016/0166-8641(86)90052-0_BIB34_2 publication-title: Soviet Math. Dokl. contributor: fullname: Štan'ko – volume: 39 start-page: 719 year: 1972 ident: 10.1016/0166-8641(86)90052-0_BIB15 article-title: Pushing an (n-1)-sphere in Sn almost into its complement publication-title: Duke Math. J. doi: 10.1215/S0012-7094-72-03977-4 contributor: fullname: Daverman – volume: 12 start-page: 1846 year: 1971 ident: 10.1016/0166-8641(86)90052-0_BIB35_2 publication-title: Soviet Math. Dokl. contributor: fullname: Štan'ko – volume: 1 start-page: 44 year: 1950 ident: 10.1016/0166-8641(86)90052-0_BIB29 article-title: Local connection in locally compact spaces publication-title: Proc. Amer. Math. Soc. doi: 10.1090/S0002-9939-1950-0033530-3 contributor: fullname: Newman – volume: 198 start-page: 783 year: 1971 ident: 10.1016/0166-8641(86)90052-0_BIB34_1 article-title: Approximation of imbeddings of compacta in codimensions greater than two publication-title: Dokil. Akad. Nauk SSSR contributor: fullname: Štan'ko – volume: 38 start-page: 265 year: 1971 ident: 10.1016/0166-8641(86)90052-0_BIB7 article-title: On embeddings of 1-dimensional compacta in E5 publication-title: Duke Math. J. doi: 10.1215/S0012-7094-71-03834-8 contributor: fullname: Bryant – start-page: 120 year: 1962 ident: 10.1016/0166-8641(86)90052-0_BIB21 article-title: A quick trip through knot theory contributor: fullname: Fox – volume: 64 start-page: 613 year: 1942 ident: 10.1016/0166-8641(86)90052-0_BIB19 article-title: Uniform local connectedness and contractibility publication-title: Amer. J. Math. doi: 10.2307/2371708 contributor: fullname: Eilenberg – volume: 10 start-page: 758 year: 1969 ident: 10.1016/0166-8641(86)90052-0_BIB33_4 publication-title: Soviet Math. Dokl. contributor: fullname: Štan'ko – volume: 60 start-page: 83 year: 1966 ident: 10.1016/0166-8641(86)90052-0_BIB32 article-title: How not to prove the Poincaré conjecture publication-title: Ann. of Math. Studies contributor: fullname: Stallings – volume: 39 start-page: 65 year: 1972 ident: 10.1016/0166-8641(86)90052-0_BIB24 article-title: Imbedding of compact metric spaces into cubes publication-title: Duke Math. J. doi: 10.1215/S0012-7094-72-03909-9 contributor: fullname: Kwak – ident: 10.1016/0166-8641(86)90052-0_BIB9 – year: 1948 ident: 10.1016/0166-8641(86)90052-0_BIB22 contributor: fullname: Hurewicz – year: 1973 ident: 10.1016/0166-8641(86)90052-0_BIB31 article-title: An alternative proof of Miller's approximation theorem publication-title: Santa Barbara Conference contributor: fullname: Siebenmann – volume: 7 start-page: 195 year: 1968 ident: 10.1016/0166-8641(86)90052-0_BIB37 article-title: Heegaard-Zerlegungen der 3-Sphäre publication-title: Topology doi: 10.1016/0040-9383(68)90027-X contributor: fullname: Waldhausen – volume: 169 year: 1966 ident: 10.1016/0166-8641(86)90052-0_BIB23_1 article-title: Topological imbeddings and pseudoisotopy publication-title: Dokl. Akad. Nauk SSSR contributor: fullname: Keldyš – volume: 29 start-page: 197 year: 1971 ident: 10.1016/0166-8641(86)90052-0_BIB30 article-title: Tame arcs on wild cells publication-title: Proc. Amer. Math. Soc. doi: 10.1090/S0002-9939-1971-0281177-X contributor: fullname: Seebeck – volume: 170 start-page: 85 year: 1972 ident: 10.1016/0166-8641(86)90052-0_BIB8 article-title: Approximating embeddings of polyhedra in codimension three publication-title: Trans. Amer. Math. Soc. doi: 10.1090/S0002-9947-1972-0307245-7 contributor: fullname: Bryant – volume: 74 start-page: 63 year: 1973 ident: 10.1016/0166-8641(86)90052-0_BIB14 article-title: On the scarcity of tame disks in certain wild cells publication-title: Fund. Math. doi: 10.4064/fm-79-1-63-77 contributor: fullname: Daverman – volume: 7 start-page: 1078 year: 1966 ident: 10.1016/0166-8641(86)90052-0_BIB23_2 publication-title: Soviet Math. Dokl. contributor: fullname: Keldyš – volume: 86 start-page: 1269 year: 1969 ident: 10.1016/0166-8641(86)90052-0_BIB33_3 publication-title: Announcement appeared in Dokl. Akad. Nauk SSSR contributor: fullname: Štan'ko – volume: 22 start-page: 378 year: 1969 ident: 10.1016/0166-8641(86)90052-0_BIB27 article-title: Tangled embeddings of one-dimensional continua publication-title: Proc. Amer. Math. Soc. doi: 10.1090/S0002-9939-1969-0246267-7 contributor: fullname: McMillan – year: 1973 ident: 10.1016/0166-8641(86)90052-0_BIB25 article-title: A general proof of Bing's shrinkability criterion publication-title: Orsay contributor: fullname: Marin – volume: 12 start-page: 234 year: 1970 ident: 10.1016/0166-8641(86)90052-0_BIB33_2 publication-title: Math. USSR Sbornik doi: 10.1070/SM1970v012n02ABEH000919 contributor: fullname: Štan'ko – year: 1973 ident: 10.1016/0166-8641(86)90052-0_BIB36 article-title: Topological general position contributor: fullname: Urner – volume: 14 start-page: 365 year: 1967 ident: 10.1016/0166-8641(86)90052-0_BIB1 article-title: On topological infinite deficiency publication-title: Michigan Math. J. doi: 10.1307/mmj/1028999787 contributor: fullname: Anderson – year: 1966 ident: 10.1016/0166-8641(86)90052-0_BIB17 contributor: fullname: Dugundji – volume: 71 start-page: 267 year: 1951 ident: 10.1016/0166-8641(86)90052-0_BIB2 article-title: Higher dimensional hereditarily indecomposable continua publication-title: Trans. Amer. Math. Soc. doi: 10.1090/S0002-9947-1951-0043452-5 contributor: fullname: Bing – year: 1974 ident: 10.1016/0166-8641(86)90052-0_BIB18 article-title: Demension theory contributor: fullname: Edwards – volume: 15 start-page: 942 year: 1968 ident: 10.1016/0166-8641(86)90052-0_BIB20 article-title: Uniform limits of compact cell-like maps publication-title: Notices Amer. Math. Soc. contributor: fullname: Finney – volume: 56 start-page: 354 year: 1952 ident: 10.1016/0166-8641(86)90052-0_BIB3 article-title: A homeomorphism between the 3-sphere and the sum of two solid horned spheres publication-title: Ann. of Math. doi: 10.2307/1969804 contributor: fullname: Bing – year: 1973 ident: 10.1016/0166-8641(86)90052-0_BIB13 publication-title: Coincidence of local flatness and local one-connectedness for embeddings of (n-1)-dimensional manifolds contributor: fullname: Černavskiǐ – volume: 126 start-page: 217 year: 1967 ident: 10.1016/0166-8641(86)90052-0_BIB26 article-title: A criterion for cellularity in a manifold. II publication-title: Trans. Amer. Math. Soc. doi: 10.1090/S0002-9947-1967-0208583-7 contributor: fullname: McMillan – volume: 201 start-page: 1299 year: 1971 ident: 10.1016/0166-8641(86)90052-0_BIB35_1 article-title: Solution of Menger's problem in the class of compacta publication-title: Dokl. Akad. Nauk SSSR contributor: fullname: Štan'ko – volume: 79 start-page: 528 year: 1972 ident: 10.1016/0166-8641(86)90052-0_BIB11 article-title: Non-intersecting arcs for nearby points (advanced problem & solution) publication-title: Amer. Math. Monthly doi: 10.2307/2317586 contributor: fullname: Bryant |
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| Title | Approximating codimension ⩾3 σ-compacta with locally homotopically unknotted embeddings |
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