Algorithmic Topology and Classification of 3-Manifolds (Algorithms and Computation in Mathematics)
Edition: 2nd ed. edition
Publisher: Springer
Published: September 14, 2007
Language: eng
Format: Hardcover
Number of pages: 492
ISBN-13: 9783540458982
Subjects: Algorithms & procedures; Topology; Topology - General; Mathematics; Science/Mathematics; Applied; Computer Science; 3-manifold; Mathematics / Topology; algorithmic recognition; special spine; sufficiently large manifold; Geometry - Differential
Description: From the reviews of the 1st edition: "This book provides a comprehensive and detailed account of different topics in algorithmic 3-dimensional topology, culminating with the recognition procedure for Haken manifolds and including the up-to-date results in computer enumeration of 3-manifolds. Originating from lecture notes of various courses given by the author over a decade, the book is intended to combine the pedagogical approach of a graduate textbook (without exercises) with the completeness and reliability of a research monograph… All the material, with few exceptions, is presented from the peculiar point of view of special polyhedra and special spines of 3-manifolds. This choice contributes to keep the level of the exposition really elementary. In conclusion, the reviewer subscribes to the quotation from the back cover: "the book fills a gap in the existing literature and will become a standard reference for algorithmic 3-dimensional topology both for graduate students and researchers". R. Piergallini, Zentralblatt für Mathematik 1048 (2004) For this 2nd edition, new results, new proofs, and commentaries for a better orientation of the reader have been added.