#### Volume 2, issue 2 (2002)

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Equivalences to the triangulation conjecture

### Duane Randall

Algebraic & Geometric Topology 2 (2002) 1147–1154
 arXiv: math.GT/0212299
##### Abstract

We utilize the obstruction theory of Galewski–Matumoto–Stern to derive equivalent formulations of the Triangulation Conjecture. For example, every closed topological manifold ${M}^{n}$ with $n\ge 5$ can be simplicially triangulated if and only if the two distinct combinatorial triangulations of $R{P}^{5}$ are simplicially concordant.

##### Keywords
triangulation, Kirby–Siebenmann class, Bockstein operator, topological manifold
##### Mathematical Subject Classification 2000
Primary: 57N16, 55S35
Secondary: 57Q15