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Directed algebraic topology : models of non-reversible worlds /

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 distinguishe...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Grandis, Marco
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge, UK ; New York : Cambridge University Press, ©2009.
Colección:New mathematical monographs ; 13.
Temas:
Acceso en línea:Texto completo

MARC

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245 1 0 |a Directed algebraic topology :  |b models of non-reversible worlds /  |c Marco Grandis. 
260 |a Cambridge, UK ;  |a New York :  |b Cambridge University Press,  |c ©2009. 
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490 1 |a New mathematical monographs ;  |v 13 
520 |a 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. 
504 |a Includes bibliographical references (pages 418-423) and index. 
505 0 |a First-order directed homotopy and homology. Directed structures and first-order homotopy properties -- Directed homology and non-commutative geometry -- Modelling the fundamental category -- Higher directed homotopy theory. Settings for higher order homotopy -- Categories of functors and algebras, relative settings -- Elements of weighted algebraic topology -- Appendix A. Some points of category theory. 
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