**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

**Knot Diagrammatics**

by

**Louis H. Kauffman**-

**arXiv**

This paper is a survey of knot theory and invariants of knots and links from the point of view of categories of diagrams. The topics range from foundations of knot theory to virtual knot theory and topological quantum field theory.

(

**5909**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.

(

**9778**views)

**The Geometry and Topology of Three-Manifolds**

by

**William P Thurston**-

**Mathematical Sciences Research Institute**

The text describes the connection between geometry and lowdimensional topology, it is useful to graduate students and mathematicians working in related fields, particularly 3-manifolds and Kleinian groups. Much of the material or technique is new.

(

**17053**views)

**Math That Makes You Go Wow**

by

**M. Boittin, E. Callahan, D. Goldberg, J. Remes**-

**Ohio State University**

This is an innovative project by a group of Yale undergraduates: A Multi-Disciplinary Exploration of Non-Orientable Surfaces. The course is designed to be included as a short segment in a late middle school or early high school math course.

(

**13828**views)