Natural maps between CAT(0) boundaries

Stephen M. Buckley; Kurt Falk

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arXiv · 1210.4812

Natural maps between CAT(0) boundaries

Stephen M. Buckley·Kurt Falk

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Abstract

It is shown that certain natural maps between the ideal, Gromov, and end boundaries of a complete CAT(0) space can fail to be either injective or surjective. Additionally the natural map from the Gromov boundary to the end boundary of a complete CAT(-1) space can fail to be either injective or surjective.

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BibTeX RIS

Stephen M. Buckley, Kurt Falk. 2013-01-30. Natural maps between CAT(0) boundaries. https://arxiv.org/abs/1210.4812

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