A coanalytic Menger group that is not $\sigma$-compact
DOI10.3906/mat-1612-84zbMath1424.03021OpenAlexW2791180229MaRDI QIDQ4633726
Publication date: 3 May 2019
Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3906/mat-1612-84
topological groupcoanalyticHurewicz propertyMenger propertyRothberger property\(V=L\)productively Lindelöf space\(\gamma\)-property\(\sigma\)-compact group
Descriptive set theory (03E15) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Consistency and independence results (03E35) Inner models, including constructibility, ordinal definability, and core models (03E45) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05)
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Cites Work
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- Products of Menger spaces: A combinatorial approach
- Lindelöf spaces which are indestructible, productive, or \(D\)
- \(\gamma\)-sets and other singular sets of real numbers
- Scales, fields, and a problem of Hurewicz
- Infinite combinatorics and definability
- Descriptive set theory
- Proper forcing
- Some properties of C(X). I
- Combinatorics of open covers. IV: Subspaces of the Alexandroff double of the unit interval
- Hausdorff gaps and limits
- Co-analytic spaces, \(K\)-analytic spaces, and definable versions of Menger's conjecture
- Products of special sets of real numbers
- The combinatorics of open covers. II
- Selective covering properties of product spaces
- On the Menger covering property and $D$-spaces
- Menger's and Hurewicz's Problems: Solutions from "The Book" and refinements
- Combinatorial Cardinal Characteristics of the Continuum
- The Product of a Lindelof Space with the Space of Irrationals Under Martin's Axiom
- On some properties of Hurewicz, Menger, and Rothberger
- Some additive properties of sets of real numbers
- Linear $\sigma$-additivity and some applications
- 𝑜-bounded groups and other topological groups with strong combinatorial properties
- Continuous images of sets of reals