ISBN: 9780511654565

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 g… More...

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.; PDF; Scientific, Technical and Medical > Mathematics > Topology > Algebraic topology, Cambridge University Press<

ISBN: 9780511654565

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 g… More...

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.; PDF; Scientific, Technical and Medical > Mathematics > Topology > Algebraic topology, Cambridge University Press<

ISBN: 9780511654565

Directed Algebraic Topology - Models of Non-Reversible Worlds: ab 106.99 € eBooks > Belletristik > Erzählungen Cambridge University Press eBook als pdf, Cambridge University Press

ISBN: 9780511654565

Directed Algebraic Topology - Models of Non-Reversible Worlds: ab 105.49 € eBooks > Belletristik > Erzählungen Cambridge University Press eBook als pdf, Cambridge University Press

2009, ISBN: 9780511654565

Models of Non-Reversible Worlds, eBooks, eBook Download (PDF), Auflage, [PU: Cambridge University Press], [ED: 1], Cambridge University Press, 2009