On the definability of Menger spaces which are not σ-compact
Copyright policy )On the definability of Menger spaces which are not σ-compact
Hurewicz proved completely metrizable Menger spaces are /sigma-compact. We extend this to Cech-complete Menger spaces and consistently to projective Menger metrizable spaces. On the other hand, it is consistent that there is a co-analytic Menger space that is not /sigma-compact.
- University of Toronto Canada
- Hacettepe University Turkey
Determinacy principles, \(\sigma\)-compact, Noncompact covering properties (paracompact, Lindelöf, etc.), Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets), General Topology (math.GN), K-analytic, co-analytic, s-space, 03E15, 03E35, 03E60, 54A25, 54D20, 54H05, 03E45, 54D40, Inner models, including constructibility, ordinal definability, and core models, analytic, {\(\sigma\)}-space, FOS: Mathematics, Remainders in general topology, Menger, projective set of reals, Cardinality properties (cardinal functions and inequalities, discrete subsets), Consistency and independence results, determinacy, Descriptive set theory, p-space, Mathematics - General Topology
Determinacy principles, \(\sigma\)-compact, Noncompact covering properties (paracompact, Lindelöf, etc.), Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets), General Topology (math.GN), K-analytic, co-analytic, s-space, 03E15, 03E35, 03E60, 54A25, 54D20, 54H05, 03E45, 54D40, Inner models, including constructibility, ordinal definability, and core models, analytic, {\(\sigma\)}-space, FOS: Mathematics, Remainders in general topology, Menger, projective set of reals, Cardinality properties (cardinal functions and inequalities, discrete subsets), Consistency and independence results, determinacy, Descriptive set theory, p-space, Mathematics - General Topology
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