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 “Topological groups and uniform continuity”
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CONTENTSChapter 0 0. Introduction...................................................................................................... 5 1. Outline of thesis.............................................................................................. 7 2. Notation............................................................................................................ 8Chapter I 0. Definitions...........................................................................................................
A very general covering property
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We introduce a general notion of covering property, of which many classical definitions are particular instances. Notions of closure under various sorts of convergence, or, more generally, under taking kinds of accumulation points, are shown to be equivalent to a covering property in the sense considered here (Corollary 3.10). Conversely, every covering property is equivalent to the existence of appropriate kinds of accumulation points for arbitrary sequences on some fixed index set...