Groupoids in topological vector space (Q2788867)
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scientific article; zbMATH DE number 6543946
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Groupoids in topological vector space |
scientific article; zbMATH DE number 6543946 |
Statements
22 February 2016
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fundamental groupoid
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covering groupoid
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group-groupoid
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topological groupoid
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Groupoids in topological vector space (English)
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In this paper, a groupoid, in a sense an internal groupoid, in the category of topological vector spaces is defined and some properties of this groupoid in terms of covering morphisms are studied. It is proved that the fundamental groupoid functor gives rise to a functor from topological vector spaces to the groupoid in vector spaces. This functor gives a categorical equivalence of topological vector spaces and groupoids in vector spaces.
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