Incidence Estimates for Well Spaced Tubes

We prove analogues of the Szemerédi–Trotter theorem and other incidence theorems using δ -tubes in place of straight lines, assuming that the δ -tubes are well spaced in a strong sense.

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Bibliographic Details
Published inGeometric and functional analysis Vol. 29; no. 6; pp. 1844 - 1863
Main Authors Guth, Larry, Solomon, Noam, Wang, Hong
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.12.2019
Springer Nature B.V
Subjects
Analysis
Incidence
Mathematics
Mathematics and Statistics
Straight lines
Theorems
Tubes
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Summary:We prove analogues of the Szemerédi–Trotter theorem and other incidence theorems using δ -tubes in place of straight lines, assuming that the δ -tubes are well spaced in a strong sense.
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ISSN:1016-443X
1420-8970
DOI:10.1007/s00039-019-00519-y