Combinatorics of open covers (VII): Groupability

DOI10.4064/fm179-2-2zbMath1115.91013OpenAlexW2090418791MaRDI QIDQ4811302

Ljubiša D. R. Kočinac, Marion Scheepers

Publication date: 19 August 2004

Published in: Fundamenta Mathematicae (Search for Journal in Brave)

Full work available at URL: http://journals.impan.gov.pl/fm/Inf/179-2-2.html

zbMATH Keywords

game theoryRamsey theoryHurewicz propertyReznichenko propertycountable fan tightnessGerlits-Nagy property

Mathematics Subject Classification ID

Games involving topology, set theory, or logic (91A44) Selections in general topology (54C65) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Ramsey theory (05D10) Partition relations (03E02)

Related Items (77)

Selection principles and hyperspace topologies ⋮ The minimal cardinality where the Reznichenko property fails ⋮ Unnamed Item ⋮ The combinatorics of splittability ⋮ The functional characterizations of the Rothberger and Menger properties ⋮ Selection principles of the Fell topology and the Vietoris topology ⋮ Selective covering properties of product spaces ⋮ On certain variations of \(\mathcal{I}\)-Hurewicz property ⋮ Additivity of the Gerlits–Nagy property and concentrated sets ⋮ Certain observations on selection principles from (a) Bornological viewpoint ⋮ Some properties of rapidly varying sequences ⋮ β-Menger and β-Hurewicz spaces ⋮ A functional characterization of the Hurewicz property ⋮ Hurewicz-type properties in texture structures ⋮ Weak covering properties and selection principles ⋮ Variations on selective separability in non-regular spaces ⋮ Some further results on \(\mathcal I\)-\(\gamma\) and \(\mathcal I\)-\(\gamma_k\)-covers ⋮ The weak Hurewicz property of Pixley-Roy hyperspaces ⋮ Further applications of bornological covering properties in function spaces ⋮ Remarks on set selectively star-ccc spaces ⋮ On new star-selection principles in topology ⋮ The Hurewicz property and the Vietoris hyperspace ⋮ Ideal approach to convergence in functional spaces ⋮ Mildly version of Hurewicz basis covering property and Hurewicz measure zero spaces ⋮ Selection principles in relator spaces ⋮ Hurewicz sets of reals without perfect subsets ⋮ Relativization of star-\(C\)-Hurewicz property in topological spaces ⋮ On the Reznichenko and Pytkeev properties in hyperspaces ⋮ Some observations on ideal variations of bornological covers ⋮ Further investigations on certain star selection principles ⋮ Applications of \(k\)-covers II ⋮ Variations of classical selection principles: An overview ⋮ On selectively star-ccc spaces ⋮ The Menger property and \(l\)-equivalence ⋮ On the set version of selectively star-CCC spaces ⋮ Scales, fields, and a problem of Hurewicz ⋮ Hereditary topological diagonalizations and the Menger-Hurewicz Conjectures ⋮ Semi-Hurewicz-type properties in ditopological texture spaces ⋮ On certain generalized versions of groupability ⋮ Some observations on Hurewicz and \(\mathcal{I}\)-Hurewicz property ⋮ Relative versions of some star-selection principles ⋮ Some covering properties of hyperspaces ⋮ Statistical convergence in topology ⋮ Star-Hurewicz Modulo an Ideal Property In Topological Spaces ⋮ Weakly infinite dimensional subsets of \(\mathbb R^{\mathbb N}\) ⋮ Versions of separability in bitopological spaces ⋮ Hurewicz spaces and the selectively \(\omega^*\)-grouping property ⋮ Projective versions of selection principles ⋮ Applications of \(k\)-covers ⋮ Linear $\sigma$-additivity and some applications ⋮ Applications of bornological covering properties in metric spaces ⋮ Borel’s conjecture and meager-additive sets ⋮ Partition relations for Hurewicz-type selection hypotheses ⋮ Relative version of star-Hurewicz property ⋮ Strong measure zero in Polish groups ⋮ Selection games on hyperspaces ⋮ Star versions of the Hurewicz basis covering property and strong measure zero spaces ⋮ A selective bitopological version of the Reznichenko property in function spaces ⋮ The absolutely strongly star-Hurewicz property with respect to an ideal ⋮ A study of selectively star-ccc spaces ⋮ A note on selectively star-ccc spaces ⋮ On star-K-\(\mathcal{I}\)-Hurewicz property ⋮ Covering properties defined by preopen sets ⋮ Superfilters, Ramsey theory, and van der Waerden's theorem ⋮ Preservation of 𝛾-spaces and covering properties of products ⋮ Notes on selectively 2-star-ccc spaces ⋮ Combinatorial images of sets of reals and semifilter trichotomy ⋮ More on selectively star-ccc spaces ⋮ Remarks on new star-selection principles in topology ⋮ Some covering properties in topological and uniform spaces ⋮ Selection principles in the context of soft sets: Menger spaces ⋮ Ideal analogues of some variants of the Hurewicz property ⋮ An ideal version of the star-C-Hurewicz covering property ⋮ Selective version of star-semi-Lindelöfness in \((a)\) topological spaces ⋮ Some new star-selection principles in topology ⋮ Some remarks on open covers and selection principles using ideals ⋮ Strong \(\gamma\)-sets and other singular spaces

This page was built for publication: Combinatorics of open covers (VII): Groupability