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Stephen M. Buckley and Kurt Falk
Natural maps between CAT(0) boundaries view print
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| Published: |
February 4, 2013 |
| Keywords: |
CAT(0) space, Gromov hyperbolic space, ideal boundary, Gromov boundary, natural map |
| Subject: |
Primary 51M05, 51M10. Secondary: 51F99 |
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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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| Acknowledgements
Both authors thank the University of Bremen and National University of Ireland Maynooth for hospitality and financial support of reciprocal visits that enabled this research effort.
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| Author information
Stephen M. Buckley:
Department of Mathematics and Statistics, National University of Ireland Maynooth, Maynooth, Co. Kildare, Ireland
stephen.buckley@maths.nuim.ie
Kurt Falk:
Universität Bremen, FB 3 - Mathematik, Bibliothekstra{\ss}e 1, 28359 Bremen, Germany
khf@math.uni-bremen.de
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