On resolvability of topological spaces

DOI10.1016/S0166-8641(02)00004-4zbMath1012.54004OpenAlexW2071786008MaRDI QIDQ1867169

Oleg I. Pavlov

Publication date: 2 April 2003

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

Full work available at URL: https://doi.org/10.1016/s0166-8641(02)00004-4

zbMATH Keywords

submaximal spaceresolvable spacemaximal spacemaximally resolvable spacehereditarily irresolvable space\(\tau\)-resolvable spaceMI-spacepseudoextentSI-space

Mathematics Subject Classification ID

Baire category, Baire spaces (54E52) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Counterexamples in general topology (54G20) Consistency and independence results in general topology (54A35)

Related Items (10)

Resolvability of spaces having small spread or extent ⋮ On thin, very thin, and slim dense sets ⋮ Ai-maximal independent families and irresolvable Baire spaces ⋮ Independent families and resolvability ⋮ Pseudocompactness and resolvability ⋮ Resolvability and monotone normality ⋮ Resolvability of Lindelöf spaces ⋮ On the resolvability of locally connected spaces ⋮ Every locally connected functionally Hausdorff space is \(c\)-resolvable ⋮ Tychonoff expansions with prescribed resolvability properties

Cites Work

• Resolvability: A selective survey and some new results
• Resolution property in generalized k-spaces
• Regular maximal spaces
• Resolvability of \(A\)-, \(CA\)- and \(PCA\)-sets in compacta
• On submaximal spaces
• An example of a connected irresolvable Hausdorff space
• A problem of set-theoretic topology
• Finite and $\omega $-resolvability
• On maximally resolvable spaces
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