E-Book, Englisch, 478 Seiten, Web PDF
Matveev Algorithmic Topology and Classification of 3-Manifolds
Erscheinungsjahr 2013
ISBN: 978-3-662-05102-3
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, 478 Seiten, Web PDF
Reihe: Algorithms and Computation in Mathematics
ISBN: 978-3-662-05102-3
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
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.
Zielgruppe
Research
Autoren/Hrsg.
Weitere Infos & Material
1 Simple and Special Polyhedra.- 2 Complexity Theory of 3-Manifolds.- 3. Haken Theory of Normal Surfaces.- 4. Applications of the Theory of Normal Surfaces.- 5. Algorithmic Recognition of S3.- 6. Classification of Haken 3-Manifolds.- 7 Computer Implementation.- 8 The Turaev-Viro Invariants.- 9 Appendix.- References.
