Free topological groups over (semi) group actions

Michael Megrelishvili

doi:10.1111/j.1749-6632.1996.tb36808.x

Free topological groups over (semi) group actions

Michael Megrelishvili

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We study equivariant embeddability into G-groups. A new regionally proximal type relation introduced in the paper gives a necessary condition providing some counter-examples. We establish also some sufficient conditions (for locally compact acting semigroups G, for instance) improving results of M. Eisenberg and J. de Vries.

Original language	English
Pages (from-to)	164-169
Number of pages	6
Journal	Annals of the New York Academy of Sciences
Volume	788
DOIs	https://doi.org/10.1111/j.1749-6632.1996.tb36808.x
State	Published - 1996

Keywords

Free topological group
Locally compact semigroup
Regionally proximal relation
Topological transformation semigroup

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10.1111/j.1749-6632.1996.tb36808.x

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title = "Free topological groups over (semi) group actions",

abstract = "We study equivariant embeddability into G-groups. A new regionally proximal type relation introduced in the paper gives a necessary condition providing some counter-examples. We establish also some sufficient conditions (for locally compact acting semigroups G, for instance) improving results of M. Eisenberg and J. de Vries.",

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author = "Michael Megrelishvili",

year = "1996",

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AB - We study equivariant embeddability into G-groups. A new regionally proximal type relation introduced in the paper gives a necessary condition providing some counter-examples. We establish also some sufficient conditions (for locally compact acting semigroups G, for instance) improving results of M. Eisenberg and J. de Vries.

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KW - Locally compact semigroup

KW - Regionally proximal relation

KW - Topological transformation semigroup

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JO - Annals of the New York Academy of Sciences

JF - Annals of the New York Academy of Sciences

ER -

Free topological groups over (semi) group actions

Abstract

Keywords

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