Scales, fields, and a problem of Hurewicz
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Publication:936158
DOI10.4171/JEMS/132zbMath1159.03030arXivmath/0507043OpenAlexW3103422578WikidataQ60308445 ScholiaQ60308445MaRDI QIDQ936158
Lyubomyr Zdomskyy, Boaz Tsaban
Publication date: 13 August 2008
Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0507043
Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Counterexamples in general topology (54G20) Applications of set theory (03E75) Other combinatorial set theory (03E05)
Related Items (26)
The strength of Menger's conjecture ⋮ Selective covering properties of product spaces ⋮ Products of Menger spaces: A combinatorial approach ⋮ Additivity of the Gerlits–Nagy property and concentrated sets ⋮ GAMES AND HEREDITARY BAIRENESS IN HYPERSPACES AND SPACES OF PROBABILITY MEASURES ⋮ Some further results on \(\mathcal I\)-\(\gamma\) and \(\mathcal I\)-\(\gamma_k\)-covers ⋮ Ideal approach to convergence in functional spaces ⋮ Hurewicz sets of reals without perfect subsets ⋮ Pseudointersection numbers, ideal slaloms, topological spaces, and cardinal inequalities ⋮ Lindelöf spaces which are Menger, Hurewicz, Alster, productive, or \(D\) ⋮ Lindelöf spaces which are indestructible, productive, or \(D\) ⋮ Unbounded towers and products ⋮ Products of general Menger spaces ⋮ On τ–covers using ideals and some of its consequences ⋮ A coanalytic Menger group that is not $\sigma$-compact ⋮ Squares of Menger-bounded groups ⋮ Finite powers and products of Menger sets ⋮ A note on unbounded strongly measure zero subgroups of the Baer-Specker group ⋮ On metric spaces with the Haver property which are Menger spaces ⋮ A homeomorphism between strong measure zero sets whose graph is not of strong measure zero ⋮ On \(M\)-separability of countable spaces and function spaces ⋮ The combinatorics of the Baer-Specker group ⋮ Selection principles in the Laver, Miller, and Sacks models ⋮ Covering properties of \(\omega\)-mad families ⋮ On the Alster, Menger and D-type covering properties ⋮ Some remarks on open covers and selection principles using ideals
Cites Work
- Cofinalities of countable ultraproducts: The existence theorem
- On the consistency of Borel's conjecture
- \(p\)-Fréchet-Urysohn property of function spaces
- On Hurewicz properties.
- Generic constructions of small sets of reals
- The combinatorics of open covers. II
- Combinatorial Cardinal Characteristics of the Continuum
- On some properties of Hurewicz, Menger, and Rothberger
- Partition Theorems and Ultrafilters
- Combinatorics of open covers (VII): Groupability
- Some cover properties of spaces
- Hereditary topological diagonalizations and the Menger-Hurewicz Conjectures
- Continuous images of sets of reals
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