Borel chromatic number of closed graphs

Dominique Lecomte; Miroslav Zelený

Fundamenta Mathematicae (2016)

  • Volume: 234, Issue: 2, page 163-169
  • ISSN: 0016-2736

Abstract

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We construct, for each countable ordinal ξ, a closed graph with Borel chromatic number 2 and Baire class ξ chromatic number ℵ₀.

How to cite

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Dominique Lecomte, and Miroslav Zelený. "Borel chromatic number of closed graphs." Fundamenta Mathematicae 234.2 (2016): 163-169. <http://eudml.org/doc/286078>.

@article{DominiqueLecomte2016,
abstract = {We construct, for each countable ordinal ξ, a closed graph with Borel chromatic number 2 and Baire class ξ chromatic number ℵ₀.},
author = {Dominique Lecomte, Miroslav Zelený},
journal = {Fundamenta Mathematicae},
keywords = {Borel chromatic number; Borel class; coloring},
language = {eng},
number = {2},
pages = {163-169},
title = {Borel chromatic number of closed graphs},
url = {http://eudml.org/doc/286078},
volume = {234},
year = {2016},
}

TY - JOUR
AU - Dominique Lecomte
AU - Miroslav Zelený
TI - Borel chromatic number of closed graphs
JO - Fundamenta Mathematicae
PY - 2016
VL - 234
IS - 2
SP - 163
EP - 169
AB - We construct, for each countable ordinal ξ, a closed graph with Borel chromatic number 2 and Baire class ξ chromatic number ℵ₀.
LA - eng
KW - Borel chromatic number; Borel class; coloring
UR - http://eudml.org/doc/286078
ER -

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