Pach's Selection Theorem Does Not Admit a Topological Extension
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F18%3A10384871" target="_blank" >RIV/00216208:11320/18:10384871 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/s00454-018-9998-8" target="_blank" >https://doi.org/10.1007/s00454-018-9998-8</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00454-018-9998-8" target="_blank" >10.1007/s00454-018-9998-8</a>
Alternative languages
Result language
angličtina
Original language name
Pach's Selection Theorem Does Not Admit a Topological Extension
Original language description
Let be n-element sets in . Pach's selection theorem says that there exist subsets and a point such that each and for every choice of . Here we show that this theorem does not admit a topological extension with linear size sets . However, there is a topological extension where each is of order (log n)(1/d).
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
<a href="/en/project/GJ16-01602Y" target="_blank" >GJ16-01602Y: Topological and geometric approaches to classes of permutations and graph properties</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Discrete and Computational Geometry
ISSN
0179-5376
e-ISSN
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Volume of the periodical
60
Issue of the periodical within the volume
2
Country of publishing house
US - UNITED STATES
Number of pages
10
Pages from-to
420-429
UT code for WoS article
000441643000008
EID of the result in the Scopus database
2-s2.0-85045235826