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A new version of homotopical Hausdorff

By B. LaBuz

Abstract

It is known that shape injectivity implies homotopical Hausdorff and that the converse does not hold, even if the space is required to be a Peano continuum. This paper gives an alternative definition of homotopical Hausdorff inspired by a new topology on the set of fixed endpoint homotopy classes of paths. This version is equivalent to shape injectivity for Peano spaces

Topics: Mathematics - Geometric Topology, 55Q52, 55Q07
Year: 2013
OAI identifier: oai:arXiv.org:1104.0855
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