Modifications of uniform bases and classification of topological spaces

DOI10.1007/s10958-007-0260-9zbMath1148.54011OpenAlexW2036699717MaRDI QIDQ941984

S. A. Peregudov

Publication date: 3 September 2008

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-007-0260-9

zbMATH Keywords

coverscellularitycardinalityRadon measuressymmetrizableNoetherian typesharp basisweak developmentsweakly uniform

Mathematics Subject Classification ID

Uniform structures and generalizations (54E15)

Cites Work

• S-spaces can exist under MA
• Weakly uniform bases and the first countability axiom
• Weak developments and metrization
• Sharp bases and weakly uniform bases versus point-countable bases
• On p-spaces and \(w\Delta\)-spaces
• On a question concerning sharp bases
• A partition calculus in set theory
• A perfect map need not preserve a Gδ-diagonal
• Spaces with bases of countable rank
• Strongly almost disjoint sets and weakly uniform bases
• Characterizations of Developable Topological Spaces
• Metrization of Topological Spaces
• Point-Finite And Locally Finite Coverings
• Base multiplicity in compact and generalized compact spaces
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