Automatic continuity and representation of group homomorphisms defined between groups of continuous functions

DOI10.1016/j.topol.2006.06.008zbMath1123.54006OpenAlexW2038607839MaRDI QIDQ886301

Ana María Ródenas, Salvador Hernández

Publication date: 26 June 2007

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

Full work available at URL: https://doi.org/10.1016/j.topol.2006.06.008

zbMATH Keywords

homomorphismsgroup-valued continuous functionsnon-vanishing mapping

Mathematics Subject Classification ID

Function spaces in general topology (54C35)

Related Items (7)

Disjointness Preservers and Banach-Stone Theorems ⋮ Banach-Stone theorems for disjointness preserving relations ⋮ Representation of group isomorphisms: the compact case ⋮ Automatic continuity of biseparating homomorphisms defined between groups of continuous functions ⋮ Group-valued continuous functions with the topology of pointwise convergence ⋮ A general Banach-Stone type theorem and applications ⋮ Representation of group isomorphisms I

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• Transformation Groups of Automorphisms of C(X,G)
• On Isomorphic Groups and Homeomorphic Spaces
• Chains of strongly non-reflexive dual groups of integer-valued continuous functions
• Compactness in Hom(G, H)

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