Variations of classical selection principles: An overview
DOI10.2989/16073606.2019.1601646zbMath1450.54010OpenAlexW2939941637MaRDI QIDQ5129760
Publication date: 23 October 2020
Published in: Quaestiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2989/16073606.2019.1601646
game theoryRamsey theoryuniform spaceselection principlesweak (almost, quasi, set) selection principles
Games involving topology, set theory, or logic (91A44) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Generalized Ramsey theory (05C55) Uniform structures and generalizations (54E15) Lower separation axioms ((T_0)--(T_3), etc.) (54D10) Basic constructions in general topology (54B99) Maps and general types of topological spaces defined by maps (54C99) Research exposition (monographs, survey articles) pertaining to general topology (54-02)
Related Items (14)
Cites Work
- Some remarks on open covers and selection principles using ideals
- Selectively c.c.c. spaces
- Weak covering properties and selection principles
- Some further results on \(\mathcal I\)-\(\gamma\) and \(\mathcal I\)-\(\gamma_k\)-covers
- The weak Hurewicz property of Pixley-Roy hyperspaces
- A note on quasi-Menger and similar spaces
- Weak covering properties and infinite games
- Selection principles and hyperspace topologies
- Statistical convergence in topology
- Variations of selective separability
- Pixley-Roy spaces over subsets of the reals
- Some properties of C(X). I
- Cardinal inequalities for topological spaces involving the weak Lindelöf number
- Uniform boundedness in function spaces
- On certain variations of \(\mathcal{I}\)-Hurewicz property
- The quasi-Rothberger property of linearly ordered spaces
- Almost Menger property in bitopological spaces
- On certain generalized versions of groupability
- Some observations on Hurewicz and \(\mathcal{I}\)-Hurewicz property
- Some star and strongly star selection principles
- Star covering properties
- Combinatorics of open covers. I: Ramsey theory
- Combinatorics of open covers. V: Pixley-Roy spaces of sets of reals, and \(\omega\)-covers
- Set-Menger and related properties
- On selectively star-ccc spaces
- Some covering properties in topological and uniform spaces
- Diagonalizations of dense families
- Some weak covering properties and infinite games
- Applications of \(k\)-covers
- The combinatorics of open covers. II
- Weaker forms of the Menger property
- REMARKS ON QUASI-LINDELÖF SPACES
- Remarks on almost Rothberger spaces and weakly Rothberger spaces
- More on cardinal invariants of analytic P-ideals
- Lindelöf indestructibility, topological games and selection principles
- Covering properties defined by semi-open sets
- The topological structure of (homogeneous) spaces and groups with countable cs*-character
- The $\gamma _p$ property and the reals
- Weaker forms of the Menger property in bitopological spaces
- On star covering properties related to countable compactness and pseudocompactness
- On τ–covers using ideals and some of its consequences
- Boundedness properties in function spaces
- Combinatorics of open covers (VII): Groupability
- Some new star-selection principles in topology
- Star-Selection Principle: Another New Direction
- On Selectively Star-Lindelof Properties
- Semi-Hurewicz spaces
- Some remarks on almost Menger spaces and weakly Menger spaces
- Menger-type covering properties of topological spaces
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Variations of classical selection principles: An overview