An Introduction to Geometric Topology, 4th Edition

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An Introduction to Geometric Topology, 4th Edition

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2025 | English | 979-8858790709 | PDF | 496 pages | 14.09 MB

This book provides a self-contained introduction to the topology and geometry of surfaces and three-manifolds. The main goal is to describe Thurston's geometrisation of three-manifolds, proved by Perelman in 2002.

The book is divided into three parts: the first is devoted to hyperbolic geometry, the second to surfaces, and the third to three-manifolds.