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2012 On piecewise linear cell decompositions
Alexander Kirillov, Jr
Algebr. Geom. Topol. 12(1): 95-108 (2012). DOI: 10.2140/agt.2012.12.95

Abstract

We introduce a class of cell decompositions of PL manifolds and polyhedra which are more general than triangulations yet not as general as CW complexes; we propose calling them PLCW complexes. The main result is an analog of Alexander’s theorem: any two PLCW decompositions of the same polyhedron can be obtained from each other by a sequence of certain “elementary” moves.

This definition is motivated by the needs of Topological Quantum Field Theory, especially extended theories as defined by Lurie.

Citation

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Alexander Kirillov, Jr. "On piecewise linear cell decompositions." Algebr. Geom. Topol. 12 (1) 95 - 108, 2012. https://doi.org/10.2140/agt.2012.12.95

Information

Received: 21 June 2011; Accepted: 17 October 2011; Published: 2012
First available in Project Euclid: 19 December 2017

zbMATH: 1283.57026
MathSciNet: MR2889547
Digital Object Identifier: 10.2140/agt.2012.12.95

Subjects:
Primary: 57Q15

Rights: Copyright © 2012 Mathematical Sciences Publishers

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Vol.12 • No. 1 • 2012
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