Natural maps between CAT(0) boundaries
classification
🧮 math.MG
keywords
naturalboundariesboundarycompleteeitherfailgromovinjective
read the original 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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