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On the Group of All Homeomorphisms of a Manifold

On the Group of All Homeomorphisms of a Manifold

Introduction.It is shown in this paper that the identity component of the group G(M) of all homeomorphisms of a closed manifold of dimension ^3 is(1) simple in the algebraic sense;(2) equal to the group of deformations of M (i.e., the group of homeomorphisms of M isotopic to the identity homeomorphism) …