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Springer The Hauptvermutung Book - Topology of Manifolds

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Description

Explore the history and resolution of a central problem in topology with The Hauptvermutung Book. Published by Springer as part of the K-Monographs in Mathematics series, this collection of papers examines the conjecture that any two triangulations of a polyhedron are combinatorially equivalent. This mathematical text follows the evolution of the theory from its formulation at the turn of the century through its initial verification in low-dimensional polyhedra. It covers the significant shift in the field following 1961, when Milnor constructed high-dimensional polyhedra with inequivalent triangulations, disproving the conjecture in general. This volume serves as a detailed record of the development of high-dimensional topology and the mathematical shifts that occurred during this period.

Key Features

This Springer publication is part of the K-Monographs in Mathematics series, volume 1.

The book provides a collection of papers focused on the topology of manifolds.

Content covers the history of the Hauptvermutung conjecture and its resolution.

The text details the transition from low-dimensional verification to high-dimensional findings.

Includes mathematical developments following Milnor's 1961 construction of inequivalent triangulations.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
08 December 2010
Listed Since
01 October 2010

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