\(C(X)\) related to its topological homeomorphism group

DOI10.1016/J.TOPOL.2010.01.011zbMath1190.54009OpenAlexW2066506341MaRDI QIDQ960849

Robert A.McCoy

Publication date: 29 March 2010

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

Full work available at URL: https://doi.org/10.1016/j.topol.2010.01.011

zbMATH Keywords

topological groupfine topologyspace of continuous functionshomeomorphism groupuniform topology

Mathematics Subject Classification ID

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

Cites Work

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• Group action on \(\mathbb R\times \mathbb Q\) and fine group topologies
• Completeness properties of function spaces
• Topologies on the space of continuous functions
• Fine topology on function spaces
• Factorization and extension of isomorphisms on \(C(X)\) to homeomorphisms on hyperspaces
• Spaces of lower semicontinuous set-valued maps II

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