**The Hauptvermutung Book: A Collection of Papers on the Topology of Manifolds**

by A.A. Ranicki, et al,

**Publisher**: Springer 1996**ISBN/ASIN**: 9048147352**ISBN-13**: 9789048147359**Number of pages**: 194

**Description**:

The Hauptvermutung is the conjecture that any two triangulations of a polyhedron are combinatorially equivalent. This conjecture was formulated at the turn of the century, and until its resolution was a central problem of topology. Initially, it was verified for low-dimensional polyhedra, and it might have been expected that further development of high-dimensional topology would lead to a verification in all dimensions.

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