Verbal covering properties of topological spaces

DOI10.1016/j.topol.2015.12.036zbMath1338.54032arXiv1503.04480OpenAlexW1585522488MaRDI QIDQ5963966

O. V. Ravskyj, Taras Banakh

Publication date: 26 February 2016

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.04480

zbMATH Keywords

quasi-uniformitycovering propertyforedensityneighborhood assignmentspre-uniformitytopological cardinal invariantstotally disconnected

Mathematics Subject Classification ID

Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Uniform structures and generalizations (54E15)

Related Items (6)

Bounds on the extent of a topological space ⋮ Cowellpoweredness of some categories of quasi-uniform spaces ⋮ Network properties of function spaces endowed with the Fell hypograph topology ⋮ Connected and/or topological group pd-examples ⋮ Pinning down versus density ⋮ Dominating and pinning down pairs for topological spaces

Cites Work

• Pinning down versus density
• Shelah's pcf theory and its applications
• Classes defined by stars and neighbourhood assignments
• Star covering properties
• Cardinal Arithmetic
• On the submetrizability number and $i$-weight of quasi-uniform spaces and paratopological groups
• On Countability of Point-Finite Families of Sets
• On critical cardinalities related to $Q$-sets
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