Natural maps between CAT(0) boundaries


Buckley, Stephen M. and Falk, K. (2013) Natural maps between CAT(0) boundaries. New York Journal of Mathematics, 19. pp. 13-22. ISSN 1076-9803

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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.

Item Type: Article
Keywords: Natural maps; CAT(0)boundaries;
Academic Unit: Faculty of Science and Engineering > Mathematics and Statistics
Item ID: 4833
Depositing User: Prof. Stephen Buckley
Date Deposited: 19 Mar 2014 11:26
Journal or Publication Title: New York Journal of Mathematics
Publisher: Electronic Journals Project
Refereed: Yes
URI:

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