Directed Algebraic Topology 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Marco Grandis 作者

Cambridge University Press

译者

2009-9-17 出版日期

444 页数

GBP 82.00 价格

Hardcover

New Mathematical Monographs 丛书系列

9780521760362 图书编码

Directed Algebraic Topology 在线电子书图书标签: 数学 Topology Directed Algebraic 2009

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Directed Algebraic Topology 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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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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