£110.35

Springer The Hauptvermutung Book - Topology of Manifolds

Name: Springer The Hauptvermutung Book - Topology of Manifolds
Brand: Springer
Price: 110.35 GBP
Availability: InStock

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Description

Explore a significant chapter in mathematical history with The Hauptvermutung Book: A Collection of Papers on the Topology of Manifolds. This volume, part of the K-Monographs in Mathematics series from Springer, examines the famous conjecture regarding the combinatorial equivalence of any two triangulations of a polyhedron. For decades, this conjecture stood as a central problem in the field of topology. While early research verified the concept for low-dimensional polyhedra, the mathematical community once expected high-dimensional topology to eventually provide a universal verification. This text covers the historical development and the eventual resolution of the problem, including the 1961 work by Milnor that disproved the Hauptvermutung in general by constructing high-dimensional polyhedra with inequivalent triangulations. This book is an essential resource for students and professionals interested in mathematical analysis and the evolving study of manifolds. It provides a deep look into how complex topological questions are formulated, tested, and ultimately resolved through rigorous mathematical research.

Key Features

Part of the K-Monographs in Mathematics series, providing a specialized academic resource for advanced study.

Covers the history and resolution of the Hauptvermutung conjecture regarding polyhedra triangulations.

Includes the significant 1961 findings by Milnor regarding high-dimensional polyhedra.

A comprehensive collection of papers focused on the topology of manifolds and mathematical analysis.

Published by Springer, ensuring high-quality academic content for mathematics researchers and students.

Product Specifications

Brand: Springer
Format: paperback
ASIN: 9048147352
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Mathematical Analysis
Domain: Amazon UK
Release Date: 08 December 2010
Listed Since: 01 October 2010

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Springer The Hauptvermutung Book - Topology of Manifolds

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