Equivariant movability of topological groups (Q409675)
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scientific article; zbMATH DE number 6024155
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Equivariant movability of topological groups |
scientific article; zbMATH DE number 6024155 |
Statements
Equivariant movability of topological groups (English)
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13 April 2012
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equivariant shape
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equivariant movability
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\(G\)-space
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Lie group
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0.9103857
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0.9056493
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0.8987634
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0.8954455
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0.89418846
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0.89378023
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The author presents the equivariant movability of topological spaces with an action of a given topological group. The movability of topological groups in classical shape theory was studied by Keesling (1974) and by Kozlowski with Segal (1976). Keesling proved that, for compact connected abelian groups, movability is equivalent to local connectedness.NEWLINENEWLINEIn this paper the author studies the equivariant movability of topological groups; in particular he proves that a second countable compact topological group is a Lie group if and only if it is equivariantly movable. This result provides examples of spaces which are movable but not equivariantly movable.
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