Complements of Grassmann substructures in projective Grassmannians
We prove that a projective Grassmannian can be recovered from the complement of one of its Grassmann substructures. Even more, the underlying projective space with the interval of its distinguished subspaces can be recovered.
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| Published in | Aequationes mathematicae Vol. 88; no. 1-2; pp. 81 - 96 |
|---|---|
| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Basel
Springer Basel
01.09.2014
Springer Nature B.V |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0001-9054 1420-8903 |
| DOI | 10.1007/s00010-013-0210-1 |
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| Abstract | We prove that a projective Grassmannian can be recovered from the complement of one of its Grassmann substructures. Even more, the underlying projective space with the interval of its distinguished subspaces can be recovered. |
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| AbstractList | We prove that a projective Grassmannian can be recovered from the complement of one of its Grassmann substructures. Even more, the underlying projective space with the interval of its distinguished subspaces can be recovered.[PUBLICATION ABSTRACT] We prove that a projective Grassmannian can be recovered from the complement of one of its Grassmann substructures. Even more, the underlying projective space with the interval of its distinguished subspaces can be recovered. |
| Author | Żynel, Mariusz |
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| Keywords | projective space Grassmannian Slit space 51A15 affine space 51A45 |
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| References | Cuypers (CR3) 1995; 70 CR2 Thas, Clerck (CR11) 1977; 51 Wan (CR12) 1996 CR8 Dentice, Lo Re (CR4) 2009; 93 Karzel, Pieper (CR6) 1970; 70 Prażmowski, Żynel (CR10) 2004; 79 Zanella (CR14) 1995; 52 Blunck, Havlicek (CR1) 1999; 36 Mullin, Vanstone (CR7) 1976; 22 Totten (CR13) 1976; 22 Żynel (CR15) 2012; 10 Karzel, Meissner (CR5) 1967; 31 Pankov, Prażmowski, Żynel (CR9) 2006; 39 H. Karzel (210_CR5) 1967; 31 H. Karzel (210_CR6) 1970; 70 R.C. Mullin (210_CR7) 1976; 22 Z.-X. Wan (210_CR12) 1996 E.F. Dentice (210_CR4) 2009; 93 J. Totten (210_CR13) 1976; 22 210_CR2 C. Zanella (210_CR14) 1995; 52 210_CR11 C. Cuypers (210_CR3) 1995; 70 A. Blunck (210_CR1) 1999; 36 M. Żynel (210_CR15) 2012; 10 M. Pankov (210_CR9) 2006; 39 K. Prażmowski (210_CR10) 2004; 79 210_CR8 |
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| Snippet | We prove that a projective Grassmannian can be recovered from the complement of one of its Grassmann substructures. Even more, the underlying projective space... |
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| SubjectTerms | Analysis Combinatorics Complement Intervals Mathematics Mathematics and Statistics Subspaces Substructures |
| Title | Complements of Grassmann substructures in projective Grassmannians |
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