Equivalences to the triangulation conjecture

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 $n \geq 5$ 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

References

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Publication

Received: 19 July 2002

Accepted: 5 December 2002

Published: 19 December 2002

Authors

Duane Randall
Department of Mathematics and Computer Science Loyola University New Orleans, LA 70118 USA

Volume 2, issue 2 (2002)

Duane Randall