Directed Algebraic Topology: Models of Non-Reversible Worlds

ISBN-13: 9780521760362 / Angielski / Twarda / 2009 / 444 str.

Marco Grandis

Opis

The first authored book to present the mathematical foundations and applications of this exciting new field.

Spis treści

Introduction; Part I. First Order Directed Homotopy and Homology: 1. Directed structures and first order homotopy properties; 2. Directed homology and noncommutative geometry; 3. Modelling the fundamental category; Part II. Higher Directed Homotopy Theory: 4. Settings for higher order homotopy; 5. Categories of functors and algebras, relative settings; 6. Elements of weighted algebraic topology; Appendix A. Some points of category theory; References; Index of symbols; General index.