Reconstruction of manifolds and subsets of normed spaces from subgroups of their homeomorphism groups
classification
🧮 math.GN
math.FA
keywords
homeomorphismcontinuousgroupsnormedopenreconstructionsetsspaces
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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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