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JSYML
2011
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12 years 7 months ago
Forcing properties of ideals of closed sets
With every σ-ideal I on a Polish space we associate the σ-ideal I∗ generated by the closed sets in I. We study the forcing notions of Borel sets modulo the respective σ-ideals...
Marcin Sabok, Jindrich Zapletal
MLQ
2011
12 years 11 months ago
Weak Borel chromatic numbers
Given a graph G whose set of vertices is a Polish space X, the weak Borel chromatic number of G is the least size of a family of pairwise disjoint G-independent Borel sets that cov...
Stefan Geschke
JCT
2011
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12 years 11 months ago
Basis theorems for continuous n-colorings
This article is devoted to the study of continuous colorings of the n-element subsets of a Polish space. The homogeneity number hm(c) of an n-coloring c : [X]n → 2 is the least s...
Stefanie Frick, Stefan Geschke