The three space problem in topological groups

DOI10.1016/j.topol.2005.05.009zbMath1102.54039OpenAlexW1989867501MaRDI QIDQ2499786

M. Montserrat Bruguera, Mikhail G. Tkachenko

Publication date: 14 August 2006

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

Full work available at URL: https://doi.org/10.1016/j.topol.2005.05.009

zbMATH Keywords

topological groupcompactcountably compactfirst countablemetrizablesequentialpseudocompactsequentially compactthree space propertyextension of a groupfunctionally bounded

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Topological groups (topological aspects) (54H11) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Counterexamples in general topology (54G20)

Related Items (15)

c-minimal topological groups ⋮ The three space problem for locally pseudoconvex algebras ⋮ Topological gyrogroups with Fréchet-Urysohn property and \(\omega^{\omega}\)-base ⋮ Bounded sets in topological groups and embeddings ⋮ Reflexivity in precompact groups and extensions ⋮ Some three-space properties of semitopological and paratopological groups ⋮ Strong realcompactness and strong Dieudonné completeness in topological groups ⋮ On feebly compact paratopological groups ⋮ The extensions of paratopological groups ⋮ The extensions of some convergence phenomena in topological groups ⋮ The selectively pseudocompact-open topology on \(C(X)\) ⋮ A special class of semi(quasi)topological groups and three-space properties ⋮ On topological groups with a small base and metrizability ⋮ Extending topological abelian groups by the unit circle ⋮ Three-space properties in paratopological groups

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