A survey of cleavability

DOI10.1016/0166-8641(93)90058-LzbMath0791.54022OpenAlexW2126674818MaRDI QIDQ1314674

Alexander V. Arhangel'skii

Publication date: 27 March 1994

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

Full work available at URL: https://doi.org/10.1016/0166-8641(93)90058-l

zbMATH Keywords

manifoldHilbert spacedimensionpolyhedronEuclidean spaceLindelöf spaceparacompact \(p\)-spacemetrizable spaceLOTSreal linecleavabilityconnected spacelocally connected spacearcwise connectedness\(G_ \delta\)-diagonal\(c\)-simple space\(c\)-thick space\(Q\)- spaceone-to-one continuous mappingstrongly \(\sigma\)-discrete space

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.) (54D15) Stratifiable spaces, cosmic spaces, etc. (54E20)

Related Items (7)

A selection of recent results and problems in \(C_{p}\)-theory ⋮ Cleavability over ordinals ⋮ Cleavability and scattered sets of non-trivial fibers ⋮ Cleavability over scattered first-countable LOTS ⋮ Weak normality of subsets of \(\exp (X)\) ⋮ Splittability over some classes of Corson compact spaces ⋮ Cleavability of compacta over the two arrows

Cites Work

• A dichotomy theorem and other results for a class of quotients of topological groups
• The general concept of cleavability of a topological space
• Cleavability over reals
• On normality and countable paracompactness
• A nondegenerate σ-discrete Moore space which is connected
• Об универсальных бикомпактных и метрических пространствах данной размерности
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