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    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
    Related URLs:
    URI: https://mural.maynoothuniversity.ie/id/eprint/4833
    Use Licence: This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

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