Reconstruction of manifolds and subsets of normed spaces from subgroups of their homeomorphism groups

Abstract

This work concerns with topological spaces of the following types: open subsets of normed vector spaces, manifolds over normed vector spaces, the closures of open subsets of normed vector spaces and some other types of topological spaces related to the above. We show that such spaces are determined by various subgroups of their auto-homeomorphism groups… (More)

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