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Long colimits of topological groups III: Homeomorphisms of products and coproducts

Dahmen, Rafael 1; Lukács, Gábor
1 Karlsruher Institut für Technologie (KIT)


The group of compactly supported homeomorphisms on a Tychonoff space can be topologized in a number of ways, including as a colimit of homeomorphism groups with a given compact support or as a subgroup of the homeomorphism group of its Stone-Čech compactification. A space is said to have the Compactly Supported Homeomorphism Property (CSHP) if these two topologies coincide. The authors provide necessary and sufficient conditions for finite products of ordinals equipped with the order topology to have CSHP. In addition, necessary conditions are presented for finite products and coproducts of spaces to have CSHP.

Verlagsausgabe §
DOI: 10.5445/IR/1000136941
Veröffentlicht am 06.09.2021
Cover der Publikation
Zugehörige Institution(en) am KIT Fakultät für Mathematik (MATH)
Publikationstyp Zeitschriftenaufsatz
Publikationsjahr 2021
Sprache Englisch
Identifikator ISSN: 2075-1680
KITopen-ID: 1000136941
Erschienen in Axioms
Verlag MDPI
Band 10
Heft 3
Seiten 155
Schlagwörter long colimit; topological group; homeomorphism group
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