Geodesic
Borel chromatic number of closed graphs
Dominique Lecomte1 ; Miroslav Zelený2
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
Fundamenta Mathematicae, Tome 234 (2016) no. 2, pp. 163-169

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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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