Directed Algebraic Topology : New Mathematical Monographs, Book 13 by Marco Grandis

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  • Title: Directed Algebraic Topology : New Mathematical Monographs, Book 13
  • Author: Marco Grandis
  • Category: Other
  • Date: Jan 2010
  • Lenguage: English
  • Pages: unknown
  • ISBN: 9780511654565

 

Ebook description:

This is the primary authored e book to be devoted to the brand new discipline of directed algebraic topology that arose within the 1990s, in homotopy principle and within the principle of concurrent processes. Its basic purpose might be said as ‘modelling non-reversible phenomena’ and its area ought to be distinguished from that of classical algebraic topology by the precept that directed areas have privileged instructions and directed paths therein needn’t be reversible. Its homotopical instruments (corresponding within the classical case to peculiar homotopies, elementary group and elementary groupoid) ought to be equally ‘non-reversible’: directed homotopies, elementary monoid and elementary category. Homotopy constructions happen right here in a directed model, which supplies rise to new ‘shapes’, like directed cones and directed spheres. Applications will cope with domains the place privileged instructions seem, together with rewrite methods, site visitors networks and organic methods. The most developed examples might be discovered within the space of concurrency.

 

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