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Approximating a
topological section by a piecewise-linear section
Colin Rourke |
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Algebraic & Geometric Topology 16 (2016) 1373–1377
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Abstract |
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In answer to a question from János Kollár, we prove that a surjective piecewise-linear map with a topological section admits a nearby homotopic piecewise-linear section. |
Keywords
section, topological section, PL approximation
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Mathematical Subject Classification 2010
Primary: 57Q55
Secondary: 57Q05, 57Q37
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References |
Publication
Received: 31 January 2014
Revised: 10 September 2015
Accepted: 13 September 2015
Published: 1 July 2016
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Authors |
| Colin Rourke | |
| Mathematics Institute University of Warwick Coventry CV4 7AL UK |
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| http://msp.warwick.ac.uk/~cpr | |
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