Directed Algebraic Topology

Directed Algebraic Topology pdf epub mobi txt 電子書 下載2025

出版者:Cambridge University Press
作者:Marco Grandis
出品人:
頁數:444
译者:
出版時間:2009-9-17
價格:GBP 82.00
裝幀:Hardcover
isbn號碼:9780521760362
叢書系列:New Mathematical Monographs
圖書標籤:
  • 數學 
  • Topology 
  • Directed 
  • Algebraic 
  • 2009 
  •  
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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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