Equivalences to the triangulation conjecture

Details Equivalences to the triangulation conjecture Equivalences to the triangulation conjecture

2002-12-20

arxiv.org/abs/math/0212297v1

Algebr. Geom. Topol. 2 (2002) 1147-1154

Mathematics

Geometric Topology

Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol2/agt-2-44.abs.html

Scientific paper

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 > 4 can be simplicially triangulated if
and only if the two distinct combinatorial triangulations of RP^5 are
simplicially concordant.

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