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arxiv: math/0212297 · v1 · submitted 2002-12-20 · 🧮 math.GT

Equivalences to the triangulation conjecture

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keywords conjecturesimpliciallytriangulationclosedcombinatorialconcordantderivedistinct
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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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