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Singular analytic sets. (English) Zbl 1458.54022

Summary: We study analytic sets which does not contain closed subspaces of the first category in itself in connection with some problems of the descriptive theory of sets and functions.

MSC:

54E50 Complete metric spaces
54C10 Special maps on topological spaces (open, closed, perfect, etc.)
54E52 Baire category, Baire spaces
54H05 Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets)
03E15 Descriptive set theory
46A30 Open mapping and closed graph theorems; completeness (including \(B\)-, \(B_r\)-completeness)
28A05 Classes of sets (Borel fields, \(\sigma\)-rings, etc.), measurable sets, Suslin sets, analytic sets
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References:

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