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.
Randall, Duane  1
@article{10_2140_agt_2002_2_1147,
author = {Randall, Duane},
title = {Equivalences to the triangulation conjecture},
journal = {Algebraic and Geometric Topology},
pages = {1147--1154},
year = {2002},
volume = {2},
number = {2},
doi = {10.2140/agt.2002.2.1147},
url = {http://geodesic.mathdoc.fr/articles/10.2140/agt.2002.2.1147/}
}
Randall, Duane. Equivalences to the triangulation conjecture. Algebraic and Geometric Topology, Tome 2 (2002) no. 2, pp. 1147-1154. doi: 10.2140/agt.2002.2.1147
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