**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.

Download or read it online for free here:

**Download link**

(740KB, PDF)

## Similar books

**Lectures on Polyhedral Topology**

by

**John R. Stallings**-

**Tata Institute of Fundamental Research**

These notes contain: The elementary theory of finite polyhedra in real vector spaces; A theory of 'general position' (approximation of maps), based on 'non-degeneracy'. A theory of 'regular neighbourhoods' in arbitrary polyhedra; etc.

(

**5776**views)

**The Geometry and Topology of Braid Groups**

by

**Jenny Wilson**-

**University of Michigan**

Contents: Five definitions of the braid group; The topology of Fn(C); The integral cohomology of the pure braid group; Generalizations of PBn and their cohomology; Transfer and twisted coefficients; Stability in the cohomology of braid groups; etc.

(

**1411**views)

**Algebraic L-theory and Topological Manifolds**

by

**A. A. Ranicki**-

**Cambridge University Press**

Assuming no previous acquaintance with surgery theory and justifying all the algebraic concepts used by their relevance to topology, Dr Ranicki explains the applications of quadratic forms to the classification of topological manifolds.

(

**6066**views)

**Exotic Homology Manifolds**

by

**Frank Quinn, Andrew Ranicki**

Homology manifolds were developed in the 20th century to give a precise setting for Poincare's ideas on duality. They are investigated using algebraic and geometric methods. This volume is the proceedings of a workshop held in 2003.

(

**6035**views)