A problem of coincidence of dimensions in topological groups

DOI10.1016/0166-8641(89)90092-8zbMath0687.54026OpenAlexW2044803368MaRDI QIDQ1263120

K. Appert

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0166-8641(89)90092-8

zbMATH Keywords

Lindelöf \(\Sigma\)-space\(\sigma\)-compact groupscoincidence of dimension functionsLindelöf \(\Sigma\)-groupsprecompact Abelian group

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Compactness (54D30) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Compact groups (22C05) Dimension theory in general topology (54F45) Counterexamples in general topology (54G20) Local compactness, (sigma)-compactness (54D45) Research exposition (monographs, survey articles) pertaining to topological groups (22-02) Research exposition (monographs, survey articles) pertaining to general topology (54-02)

Related Items (9)

Some aspects of dimension theory for topological groups ⋮ Around the equality ind\(X\)=Ind\(X\) towards a unifying theorem ⋮ Imbeddings into topological groups preserving dimensions ⋮ Nonequality of dimensions for metric groups ⋮ Some estimates of the inductive dimensions of the union of two sets ⋮ Quotients of zero-dimensional precompact abelian groups ⋮ Compactness and connectedness in topological groups ⋮ On inverse systems and cardinal functions of topological spaces ⋮ A note on transfinite inductive dimensions in topological groups

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