Long chains of Hausdorff topological group topologies

DOI10.1016/0022-4049(91)90006-NzbMath0723.22001MaRDI QIDQ757606

Dieter Remus, W. Wistar Comfort

Publication date: 1991

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

free groupabelian groupcardinal numbersgeneralized continuum hypothesischain of topologiestopological group topologiestotally bounded group topologies

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Descriptive set theory (03E15) Several topologies on one set (change of topology, comparison of topologies, lattices of topologies) (54A10)

Related Items

Mal'tsev and retral spaces ⋮ Locally quasi-convex compatible topologies on a topological group ⋮ Chains of pseudocompact group topologies ⋮ Cardinal invariants and independence results in the poset of precompact group topologies ⋮ The gentle, generous giant tampering with dense subgroups of topological groups ⋮ Locally quasi-convex compatible topologies on locally compact abelian groups ⋮ On closed subgroups of precompact groups ⋮ The finite intervals of the Muchnik lattice ⋮ Long chains of topological group topologies. --- A continuation ⋮ On the lattice of weak topologies on the bicyclic monoid with adjoined zero ⋮ Extremal pseudocompact topological groups ⋮ Extending ring topologies ⋮ Minimal and precompact group topologies on free groups

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