Topology Proceedings 28 No. 2 (2004), pp. 335-342

The universal cover of the quotient of a locally defined group

Valera Berestovskii and Conrad Plaut

We present a new method to compute the (generalized) universal cover of a quotient V/G of a locally defined group V via a closed subgroup G, and give some applications. For example we show that if G is locally generated (e.g. if G is connected) then V/G is locally defined. We give some answers to the question of when the universal cover of a quotient of a topological vector spaces is again a topological vector space.

Keywords: Universal cover, topological vector space

Mathematics Subject Classification: 22A05 (46A99 55Q05)

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Topology Proceedings, Volume 28, No. 2 (2004)
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