Directed Algebraic Topology : Models of Non-Reversible Worlds Hardback
by Marco (Universita degli Studi di Genova) Grandis
Part of the New Mathematical Monographs series
Hardback
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Description
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 distinguished from that of classical algebraic topology by the principle that directed spaces have privileged directions and directed paths therein need not be reversible.
Its homotopical tools (corresponding in the classical case to ordinary homotopies, fundamental group and fundamental groupoid) should be similarly 'non-reversible': directed homotopies, fundamental monoid and fundamental category.
Homotopy constructions occur here in a directed version, which gives rise to new 'shapes', like directed cones and directed spheres.
Applications will deal with domains where privileged directions appear, including rewrite systems, traffic networks and biological systems.
The most developed examples can be found in the area of concurrency.
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Out of Stock - We are unable to provide an estimated availability date for this product
- Format:Hardback
- Pages:444 pages
- Publisher:Cambridge University Press
- Publication Date:17/09/2009
- Category:
- ISBN:9780521760362
Information
-
Out of Stock - We are unable to provide an estimated availability date for this product
- Format:Hardback
- Pages:444 pages
- Publisher:Cambridge University Press
- Publication Date:17/09/2009
- Category:
- ISBN:9780521760362