Directed Algebraic Topology 2024 pdf epub mobi 电子书

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发表于2024-06-29

Directed Algebraic Topology 2024 pdf epub mobi 电子书

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出版者:Cambridge University Press

作者:Marco Grandis

出品人:

页数:444

译者:

出版时间:2009-9-17

价格:GBP 82.00

装帧:Hardcover

isbn号码:9780521760362

丛书系列:New Mathematical Monographs

图书标签: 数学 Topology Directed Algebraic 2009

Directed Algebraic Topology 2024 pdf epub mobi 电子书图书描述

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 Algebraic Topology 2024 pdf epub mobi 电子书

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