Group structures on function spaces with the set-open topology

DOI10.17377/semi.2017.14.123zbMath1386.54010arXiv1710.07854MaRDI QIDQ1707918

Alexander V. Osipov

Publication date: 4 April 2018

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.07854

zbMATH Keywords

semitopological grouptopological grouptopological vector spacetopological algebraset-open topologyparatopological group\(C\)-compact subset\(C_\alpha\)-compact subset

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Topological groups (topological aspects) (54H11)

Related Items (2)

Embedding theorems for function spaces ⋮ Indestructibly productively Lindelöf and Menger function spaces

Cites Work

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• Topological-algebraic properties of function spaces with set-open topologies
• Comparison of some set open topologies on \(C(X, Y)\)
• Topological groups and related structures
• On \(C_ \alpha\)-compact subsets
• Uniformity of uniform convergence on the family of sets
• m-Pseudocompactness
• Some remarks on the product of two C α-compact subsets

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