Equivalences to the triangulation conjecture

2002/12/20 by Duane Randall
Mathematics · #math.GT #msc:57N16 #msc:55S35 #msc:57Q15

paper · pdf

published as Algebr. Geom. Topol. 2 (2002) 1147-1154 · Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol2/agt-2-44.abs.html

arxiv created 2002/12/20 · arxiv updated 2009/11/30

Abstract

We utilize the obstruction theory of Galewski-Matumoto-Stern to derive equivalent formulations of the Triangulation Conjecture. For example, every closed topological manifold Mⁿ with n > 4 can be simplicially triangulated if and only if the two distinct combinatorial triangulations of RP⁵ are simplicially concordant.

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