Logo

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

Large book cover: The Hauptvermutung Book: A Collection of Papers on the Topology of Manifolds

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

Publisher: Springer
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

Book cover: Notes on String TopologyNotes on String Topology
by - arXiv
This paper is an exposition of the new subject of String Topology. We present an introduction to this exciting new area, as well as a survey of some of the latest developments, and our views about future directions of research.
(6011 views)
Book cover: CDBooK: Introduction to Vassiliev Knot invariantsCDBooK: Introduction to Vassiliev Knot invariants
by - Ohio State Universit
An introduction to the theory of finite type (Vassiliev) knot invariants, with a stress on its combinatorial aspects. Written for readers with no background in this area, and we care more about the basic notions than about more advanced material.
(6310 views)
Book cover: Geometric Topology: Localization, Periodicity and Galois SymmetryGeometric Topology: Localization, Periodicity and Galois Symmetry
by - Springer
In 1970, Sullivan circulated this set of notes introducing localization and completion of topological spaces to homotopy theory, and other important concepts. The notes remain worth reading for the fresh picture they provide for geometric topology.
(4351 views)
Book cover: The Geometry and Topology of Three-ManifoldsThe Geometry and Topology of Three-Manifolds
by - 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.
(12110 views)