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Directed algebraic topology : models of non-reversible worlds /

This is the first authored book to be dedicated to the new field of directed algebraic topology that arose in the 1990s, in homotopy theory and in the theory of concurrent processes. Its general aim can be stated as 'modelling non-reversible phenomena' and its domain should be distinguishe...

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Grandis, Marco
Format: Electronic eBook
Language:Inglés
Published: Cambridge, UK ; New York : Cambridge University Press, ©2009.
Series:New mathematical monographs ; 13.
Subjects:
Online Access:Texto completo
Table of Contents:
  • First-order directed homotopy and homology. Directed structures and first-order homotopy properties
  • Directed homology and non-commutative geometry
  • Modelling the fundamental category
  • Higher directed homotopy theory. Settings for higher order homotopy
  • Categories of functors and algebras, relative settings
  • Elements of weighted algebraic topology
  • Appendix A. Some points of category theory.