Triangulated Manifolds

Written from a Computational Topology point-of-view the intention of this book is to provide the reader with an easy and up-to-date access to a wide range of topics concerning topological, combinatorial, and geometric aspects of triangulated manifolds.
As a compendium of many classical results, complemented with new material, the book is equipped with an extensive bibliography. An atlas of small triangulations is also included.
The list of topics comprises: classification results, PL structures and Hauptvermutung, recognition techniques, computation of invariants, explicit constructions of examples, enumeration procedures, f-vectors of triangulations, vertex-minimal, vertex-transitive, and centrally symmetric examples, realizability issues, polytopality and tightness of triangulations.

Summary

Written from a Computational Topology point-of-view the intention of this book is to provide the reader with an easy and up-to-date access to a wide range of topics concerning topological, combinatorial, and geometric aspects of triangulated manifolds.
As a compendium of many classical results, complemented with new material, the book is equipped with an extensive bibliography. An atlas of small triangulations is also included.
The list of topics comprises: classification results, PL structures and Hauptvermutung, recognition techniques, computation of invariants, explicit constructions of examples, enumeration procedures, f-vectors of triangulations, vertex-minimal, vertex-transitive, and centrally symmetric examples, realizability issues, polytopality and tightness of triangulations.

Product details

• Authors: Frank Lutz
• Publisher: Springer, Berlin
• Languages: English
• Product format: Hardback
• Released: 13.03.2026
• EAN: 9783540345022
• ISBN: 978-3-540-34502-2
• No. of pages: 350
• Illustrations: Approx. 350 p.
• Series: Algorithms and Combinatorics; Algorithms and Combinatorics
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Probability theory, stochastic theory, mathematical statistics; B, Algorithms, Combinatorics, Mathematics and Statistics, Discrete Mathematics, Combinatorics & graph theory, Numerical analysis, Manifolds (Mathematics), Global analysis (Mathematics), Global Analysis and Analysis on Manifolds