Direct limit topologies in the categories of topological groups and of uniform spaces

DOI10.2748/TMJ/1332767338zbMath1241.22002arXiv0911.3985OpenAlexW2963331129MaRDI QIDQ415291

Taras Banakh, Dušan D. Repovš

Publication date: 11 May 2012

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0911.3985

zbMATH Keywords

topological groupdirect limituniform space

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Topological groups (topological aspects) (54H11) Categorical methods in general topology (54B30) Uniform structures and generalizations (54E15) Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.) (18A30)

Related Items (5)

Detecting topological groups which are (locally) homeomorphic to LF-spaces ⋮ Diffeomorphism groups of non-compact manifolds endowed with the Whitney \(C^\infty\)-topology ⋮ Topological properties of inductive limits of closed towers of metrizable groups ⋮ Spaces of maps into topological group with the Whitney topology ⋮ Direct limit topologies of quasi-uniform spaces and paratopological groups

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