Group-valued continuous functions with the topology of pointwise convergence

DOI10.1016/J.TOPOL.2009.06.022zbMath1195.54040arXiv0907.4941OpenAlexW2019851616MaRDI QIDQ972553

Jan Spěvák, Dmitrij B. Shakhmatov

Publication date: 19 May 2010

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

Full work available at URL: https://arxiv.org/abs/0907.4941

zbMATH Keywords

topological grouptopology of pointwise convergencefunction spacefree objectpseudocompact spaceNSS group

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Function spaces in general topology (54C35) Topological groups (topological aspects) (54H11) Topological linear spaces of continuous, differentiable or analytic functions (46E10)

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Cites Work

• Automatic continuity and representation of group homomorphisms defined between groups of continuous functions
• Free compact groups. I: Free compact abelian groups
• On the existence of free topological groups
• Dual properties in totally bounded Abelian groups
• A characterization of compactness in terms of uniform structure in a function space
• Varieties of topological groups a survey
• Dualities between categories of topological modules
• On the tightness of spaces of continuous functions
• Duality of totally bounded Abelian groups
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