Algorithmic Topology and Classification of 3-Manifolds (eBook, PDF)
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This book originates from lecture notes of various courses taught by the author over a decade. It is intended to offer the completeness and reliability of a research monograph with the pedagogical approach of a graduate textbook (excluding exercises). By presenting the material, with few exceptions, from the point of view of special polyhedra and special spines of 3-manifolds, the author keeps the exposition to an elementary level.The result is a thorough review of topics in 3-dimensional topology. The account culminates with the recognition procedure for Haken manifolds, and includes up-to-da...
This book originates from lecture notes of various courses taught by the author over a decade. It is intended to offer the completeness and reliability of a research monograph with the pedagogical approach of a graduate textbook (excluding exercises). By presenting the material, with few exceptions, from the point of view of special polyhedra and special spines of 3-manifolds, the author keeps the exposition to an elementary level.
The result is a thorough review of topics in 3-dimensional topology. The account culminates with the recognition procedure for Haken manifolds, and includes up-to-date results in computer enumeration of 3-manifolds. The updated second edition adds new results, new proofs, and commentaries for a better orientation of the reader.
Algorithmic Topology and Classification of 3-Manifolds fills a gap in the existing literature, and is well-suited as a standard reference for algorithmic 3-dimensional topology for both graduate students and researchers.
The result is a thorough review of topics in 3-dimensional topology. The account culminates with the recognition procedure for Haken manifolds, and includes up-to-date results in computer enumeration of 3-manifolds. The updated second edition adds new results, new proofs, and commentaries for a better orientation of the reader.
Algorithmic Topology and Classification of 3-Manifolds fills a gap in the existing literature, and is well-suited as a standard reference for algorithmic 3-dimensional topology for both graduate students and researchers.
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