Coarser connected metrizable topologies

Yengulalp, Lynne

doi:10.1016/j.topol.2010.06.002

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2013

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“…Druzhinina showed in [9] that every metrizable space X with w(X) ≥ 2 ω and achievable extent admits a weaker connected metrizable topology. Recently, Yengulalp [17] generalized this result by removing the achievable extent condition.…”

Section: Introductionmentioning

confidence: 99%

Continuous isomorphisms onto separable groups

López

2013

Appl.Gen.Topol.

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A condensation is a one-to-one continuous function onto. We give sufficient conditions for a Tychonoff space to admit a condensation onto a separable dense subspace of the Tychonoff cube I c and discuss the differences that arise when we deal with topological groups, where condensation is understood as a continuous isomorphism. We also show that every Abelian group G with |G| ≤ 2 c admits a separable, precompact, Hausdorff group topology, where c = 2 ω .2010 MSC: 22A05, 54H11.

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Section: Introductionmentioning

confidence: 99%

Continuous isomorphisms onto separable groups

López

2013

Appl.Gen.Topol.

View full text Add to dashboard Cite

show abstract

Coarser connected metrizable topologies

Cited by 1 publication

References 3 publications

Continuous isomorphisms onto separable groups

Continuous isomorphisms onto separable groups

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