Group structure in finite coverings of compact solenoidal groups.
Grigorian, S.A., Gumerov, R.N., Kazantsev, A.V. (2000)
Lobachevskii Journal of Mathematics
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Displaying similar documents to “Some relative topological properties”
Group structure in finite coverings of compact solenoidal groups.
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CONTENTSChapter 0 0. Introduction...................................................................................................... 5 1. Outline of thesis.............................................................................................. 7 2. Notation............................................................................................................ 8Chapter I 0. Definitions...........................................................................................................
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Let Y be a connected group and let f: X → Y be a covering map with the total space X being connected. We consider the following question: Is it possible to define a topological group structure on X in such a way that f becomes a homomorphism of topological groups. This holds in some particular cases: if Y is a pathwise connected and locally pathwise connected group or if f is a finite-sheeted covering map over a compact connected group Y. However, using shape-theoretic techniques and...