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

DOI10.4064/dm435-0-1zbMath1114.57023arXivmath/0510118OpenAlexW1985321090MaRDI QIDQ5477530

Yosef Yomdin, Matatyahu Rubin

Publication date: 4 July 2006

Published in: Dissertationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0510118

zbMATH Keywords

reconstructionuniformly continuousbilipschitzhomeomorphism group

Mathematics Subject Classification ID

Normed linear spaces and Banach spaces; Banach lattices (46B99) Infinite-dimensional manifolds (58B99) Special maps on metric spaces (54E40) Topology of infinite-dimensional manifolds (57N20)

Related Items (5)

A reconstruction theorem for locally convex metrizable spaces, homeomorphism groups without small sets, semigroups of non-shrinking functions of a normed space ⋮ Isomorphisms between groups of equivariant homeomorphisms of G-manifolds with one orbit type ⋮ A reconstruction theorem for smooth foliated manifolds ⋮ On the reconstruction problem for factorizable homeomorphism groups and foliated manifolds ⋮ Extension and reconstruction theorems for the Urysohn universal metric space

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