A finite family of pseudodiscs must include a "small" pseudodisc

Rom Pinchasi

doi:10.1137/130949750

A finite family of pseudodiscs must include a "small" pseudodisc

Rom Pinchasi

Mathematics

Technion - Israel Institute of Technology

Research output: Contribution to journal › Article › peer-review

Abstract

We show that there is an absolute constant c ≤ 156 such that in every finite family F of pseudodiscs in the plane one can find a member D ε F such that among all of the pseudodiscs in F intersecting D there are at most c pairwise disjoint sets.

Original language	English
Pages (from-to)	1930-1934
Number of pages	5
Journal	SIAM Journal on Discrete Mathematics
Volume	28
Issue number	4
DOIs	https://doi.org/10.1137/130949750
State	Published - 2014

Keywords

Pseudodiscs

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1137/130949750

Cite this

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doi = "10.1137/130949750",

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AB - We show that there is an absolute constant c ≤ 156 such that in every finite family F of pseudodiscs in the plane one can find a member D ε F such that among all of the pseudodiscs in F intersecting D there are at most c pairwise disjoint sets.

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JO - SIAM Journal on Discrete Mathematics

JF - SIAM Journal on Discrete Mathematics

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A finite family of pseudodiscs must include a "small" pseudodisc

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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