**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

**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.

(

**7925**views)

**A Geometric Approach to Differential Forms**

by

**David Bachman**-

**arXiv**

This is a textbook on differential forms. The primary target audience is sophomore level undergraduates enrolled in a course in vector calculus. Later chapters will be of interest to advanced undergraduate and beginning graduate students.

(

**13958**views)

**An Introduction to Algebraic Surgery**

by

**Andrew Ranicki**-

**arXiv**

Browder-Novikov-Sullivan-Wall surgery theory investigates the homotopy types of manifolds, using a combination of algebra and topology. It is the aim of these notes to provide an introduction to the more algebraic aspects of the theory.

(

**9456**views)

**E 'Infinite' Ring Spaces and E 'Infinite' Ring Spectra**

by

**J. P. May**-

**Springer**

The theme of this book is infinite loop space theory and its multiplicative elaboration. The main goal is a complete analysis of the relationship between the classifying spaces of geometric topology and the infinite loop spaces of algebraic K-theory.

(

**10521**views)