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

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

2005-10-06

arxiv.org/abs/math/0510118v1

Mathematics

General Topology

340 pages

Scientific paper

We prove various reconstruction theorems about open subsets of normed spaces.
E.g. if the uniformly continuous homeomorphism groups of two such sets are
isomorphic, then this isomorphism is induced by a uniformly continuous
homeomorphism between these open sets.

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