Directed Algebraic Topology
Mathematics, Algebraic topology, Topological space
978-620-0-62535-9
6200625352
96
2012-02-14
34,00 €
eng
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, directed algebraic topology is a form of algebraic topology that studies topological spaces equipped with a direction. The generic term directed spaces is applied to such spaces. Directed algebraic topology is a subject that emerged in the 1990s to meet the need for models of Concurrency. Its domain is distinguished from classical algebraic topology by the principle that directed spaces have privileged directions and that the directed paths therein need not be reversible. Its homotopical tools, corresponding to ordinary homotopies, fundamental groups and fundamental n-groupoids, are similarly 'non-reversible': directed homotopies, fundamental monoids and fundamental n-categories.
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