On piecewise linear cell decompositions
| Autor: | Kirillov Jr, Alexander |
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| Rok vydání: | 2010 |
| Předmět: | |
| Zdroj: | Algebr. Geom. Topol. 12 (2012) 95-108 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.2140/agt.2012.12.95 |
| Popis: | In this note, 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. Comment: LaTeX2e, 11 pages |
| Databáze: | arXiv |
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