Topology

Directed Alegebraic Topology

Name: Directed Alegebraic Topology
Brand: Cambridge University Press
SKU: 9780521760362
Price: 17785.00 INR
Availability: InStock
ISBN: 9780521760362

Contributor(s): Grandis, Marco Author Format: Hardback

Hardback · ISBN 9780521760362

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Key Specifications

ISBN	9780521760362
Publisher	Cambridge University Press
Publication date	September 2009
Language	English
MRP	£141.00 GBP
Page count	446
Item weight	182 g

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.

Directed Alegebraic Topology

Key Specifications

Grandis, Marco Author

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