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ISBN: 9780511654565

ID: 125935172

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. Models of Non-Reversible Worlds eBook eBooks>Fremdsprachige eBooks>Englische eBooks>Sach- & Fachthemen>Mathematik, Cambridge University Press

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ISBN: 9780511654565

ID: 196479

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., [PU: Cambridge University Press]

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ISBN: 9780511654565

ID: 71dc3d46099350aca46afefa2c0ee5cd

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. eBooks / Englische eBooks / Math, Cambridge University Press

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ISBN: 9780511654565

ID: 9780511654565

[KW: PDF ,MATHEMATICS , TOPOLOGY ,MATHEMATICS] PDF ,MATHEMATICS , TOPOLOGY ,MATHEMATICS

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2009, ISBN: 9780511654565

ID: 26207676

Models of Non-Reversible Worlds, [ED: 1], Auflage, eBook Download (PDF), eBooks, [PU: Cambridge University Press]

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** Details of the book - Directed Algebraic Topology**

EAN (ISBN-13): 9780511654565

Publishing year: 2009

Publisher: Cambridge University Press

Book in our database since 15.01.2008 12:48:56

Book found last time on 12.03.2017 17:07:19

ISBN/EAN: 9780511654565

ISBN - alternate spelling:

978-0-511-65456-5

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