Geodesic
Borel chromatic number of closed graphs
Dominique Lecomte1 ; Miroslav Zelený2
1Institut de Mathématiques de Jussieu Projet Analyse Fonctionnelle Université Paris 6 Couloir 16-26, 4ème étage, Case 247 4, place Jussieu 75252 Paris Cedex 05, France and I.U.T. de l’Oise, site de Creil Université de Picardie 13, allée de la Faïencerie 60107 Creil, France
2Faculty of Mathematics and Physics Department of Mathematical Analysis Charles University Sokolovská 83 186 75 Praha, Czech Republic
Fundamenta Mathematicae, Tome 234 (2016) no. 2, pp. 163-169
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We construct, for each countable ordinal $\xi $, a closed graph with Borel chromatic number 2 and Baire class $\xi $ chromatic number $\aleph _0$.
DOI : 10.4064/fm152-11-2015
Keywords: construct each countable ordinal closed graph borel chromatic number baire class chromatic number aleph

Dominique Lecomte  1   ; Miroslav Zelený  2

1 Institut de Mathématiques de Jussieu Projet Analyse Fonctionnelle Université Paris 6 Couloir 16-26, 4ème étage, Case 247 4, place Jussieu 75252 Paris Cedex 05, France and I.U.T. de l’Oise, site de Creil Université de Picardie 13, allée de la Faïencerie 60107 Creil, France
2 Faculty of Mathematics and Physics Department of Mathematical Analysis Charles University Sokolovská 83 186 75 Praha, Czech Republic 
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Dominique Lecomte; Miroslav Zelený. Borel chromatic number of closed graphs. Fundamenta Mathematicae, Tome 234 (2016) no. 2, pp. 163-169. doi: 10.4064/fm152-11-2015

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