**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

**A Primer on Mapping Class Groups**

by

**Benson Farb, Dan Margalit**-

**Princeton University Press**

Our goal in this book is to explain as many important theorems, examples, and techniques as possible, as quickly and directly as possible, while at the same time giving (nearly) full details and keeping the text (nearly) selfcontained.

(

**5682**views)

**Notes on Basic 3-Manifold Topology**

by

**Allen Hatcher**

These pages are really just an early draft of the initial chapters of a real book on 3-manifolds. The text does contain a few things that aren't readily available elsewhere, like the Jaco-Shalen/Johannson torus decomposition theorem.

(

**5194**views)

**Algebraic and Geometric Surgery**

by

**Andrew Ranicki**-

**Oxford University Press**

Surgery theory is the standard method for the classification of high-dimensional manifolds, where high means 5 or more. This book aims to be an entry point to surgery theory for a reader who already has some background in topology.

(

**4620**views)

**High-dimensional Knot Theory**

by

**Andrew Ranicki**-

**Springer**

This book is an introduction to high-dimensional knot theory. It uses surgery theory to provide a systematic exposition, and it serves as an introduction to algebraic surgery theory, using high-dimensional knots as the geometric motivation.

(

**7225**views)