Algebraic & Geometric Topology 2 (2002) 1147–1154

DOI: 10.2140/agt.2002.2.1147

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 Mⁿ with n≥5 can be simplicially triangulated if and only if the two distinct combinatorial triangulations of RP⁵ are simplicially concordant.

Keywords

triangulation, Kirby–Siebenmann class, Bockstein operator, topological manifold

Mathematical Subject Classification

Primary: 55S35, 57N16

Secondary: 57Q15

References

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Publication

Received: 19 July 2002
Accepted: 5 December 2002
Published: 19 December 2002

Authors