Sequential completeness of quotient groups

DOI10.1017/S0004972700022085zbMath0943.22001OpenAlexW2085344907MaRDI QIDQ4953128

Dikran Dikranjan, Mikhail G. Tkachenko

Publication date: 3 September 2000

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700022085

zbMATH Keywords

precompactsequentially \(h\)-complete groupsequential complete groupsequentially \(q\)-complete group

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Compactness (54D30) Topological groups (topological aspects) (54H11) ``(P)-minimal and ``(P)-closed spaces (54D25) Categorical methods in general topology (54B30) Consistency and independence results in general topology (54A35) General properties and structure of LCA groups (22B05) Topological fields, rings, etc. (topological aspects) (54H13)

Related Items (16)

On transversal group topologies ⋮ Countably compact groups having minimal infinite powers ⋮ Varieties generated by countably compact Abelian groups ⋮ Interpolation sets and the Bohr topology of locally compact groups ⋮ Quotients of locally minimal groups ⋮ Pontryagin duality in the class of precompact abelian groups and the Baire property ⋮ A survey on reflexivity of abelian topological groups ⋮ A characterization of strongly countably complete topological groups ⋮ Some cases of preservation of the Pontryagin dual by taking dense subgroups ⋮ Abelian group theory in Italy. ⋮ Precompact noncompact reflexive Abelian groups ⋮ Characterizing Lie groups by controlling their zero-dimensional subgroups ⋮ Sequentially complete groups: Dimension and minimality ⋮ Weakly complete free topological groups ⋮ Closure operators in topological groups related to von Neumann's kernel ⋮ Provisional solution to a Comfort--van Mill problem

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