Simultaneous metrizability of coarse spaces
Simultaneous metrizability of coarse spaces
A metric space can be naturally endowed with both a topology and a coarse structure. We examine the converse to this. Given a topology and a coarse structure we give necessary and sufficient conditions for the existence of a metric giving rise to both of these. We conclude with an application to the construction of the coarse assembly map.
3271-3278
Wright, Nick
f4685b8d-7496-47dc-95f0-aba3f70fbccd
6 April 2011
Wright, Nick
f4685b8d-7496-47dc-95f0-aba3f70fbccd
Wright, Nick
(2011)
Simultaneous metrizability of coarse spaces.
Proceedings of the American Mathematical Society, 139 (9), .
Abstract
A metric space can be naturally endowed with both a topology and a coarse structure. We examine the converse to this. Given a topology and a coarse structure we give necessary and sufficient conditions for the existence of a metric giving rise to both of these. We conclude with an application to the construction of the coarse assembly map.
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njwmetriz2.pdf
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Published date: 6 April 2011
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Local EPrints ID: 147379
URI: http://eprints.soton.ac.uk/id/eprint/147379
ISSN: 0002-9939
PURE UUID: 222213a7-c86f-49d9-b6eb-c5a92d71687d
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Date deposited: 08 Jun 2010 09:28
Last modified: 14 Mar 2024 02:50
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