Directed algebraic topology models of non-reversible worlds by Marco Grandis

Cover of: Directed algebraic topology | Marco Grandis

Published by Cambridge University Press in Cambridge .

Written in English

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Edition Notes

Includes bibliographical references (p. 418-423) and index.

Book details

StatementMarco Grandis
SeriesNew mathematical monographs -- 13, New mathematical monographs -- 13.
Classifications
LC ClassificationsQA612 .G68 2009
The Physical Object
Paginationix, 434 p. :
Number of Pages434
ID Numbers
Open LibraryOL24385409M
ISBN 100521760364
ISBN 109780521760362
LC Control Number2010286516
OCLC/WorldCa318871498

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The first authored book to be dedicated to the new field of directed algebraic topology that arose in the s, in homotopy theory and in the theory of concurrent processes. The author presents its mathematical foundations, demonstrating its relation to classical algebraic topology, and explores its varied applications.

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Find books. A downloadable textbook in algebraic topology. What's in the Book. To get an idea you can look at the Table of Contents and the Preface. Printed Version: The book was published by Cambridge University Press in in both paperback and hardback editions, but only the paperback version is currently available (ISBN ).

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Marco Grandis, Directed homotopy theory, I. The fundamental category ; This has now developed into a book. Marco Grandis, Directed Algebraic Topology, Models of non-reversible worlds, Cambridge University Press, A discussion of reparameterization of directed paths in directed.

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Its general aim can be stated as ‘modelling non-reversible phenomena’ and. set topological nature that arise in algebraic topology. Since this is a textbook on algebraic topology, details involving point-set topology are often treated lightly or skipped entirely in the body of the text.

Not included in this book is the important but somewhat more sophisticated topic of spectral sequences. Taking well-known discrete models for concurrent processes in resource management as a point of departure, the book goes on to refine combinatorial and topological models.

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Due to its importance in applications, the physicist reader who is intending eventually to specialize in elementary. Intended for use both as a text and a reference, this book is an exposition of the fundamental ideas of algebraic topology.

The first third of the book covers the fundamental group, its definition and its application in the study of covering spaces. The focus then turns to homology theory, including cohomology, cup products, cohomology. A Concise Course in Algebraic Topology.

University of Chicago Press, [$18] — Good for getting the big picture. Perhaps not as easy for a beginner as the preceding book. • G E Bredon. Topology and Geometry. Springer GTM[$70] — Includes basics on smooth manifolds, and even some point-set topology. • R Bott and L W Tu. The idea of algebraic topology is to translate problems in topology into problems in algebra with the hope that they have a better chance of solution.

The translation process is usually carried out by means of the homology or homotopy groups of a topological space. The target audience for this book consists of graduate students, researchers and practitioners in the field, mathematicians and computer scientists alike.

Springerbriefs in Applied Sciences and Technology / Springer: Directed Algebraic Topology and Concurrency (Hardcover). Algebraic Topology: A First Course (Graduate Texts in Mathematics Book ) - Kindle edition by Fulton, William.

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Intended for use both as a text and a reference, this book is an exposition of the fundamental ideas of algebraic topology. The first third of the book covers the fundamental group, its definition and its application in the study of covering spaces.

The focus then turns to homology theory, including cohomology, cup products, cohomology operations, and topological manifolds.3/5(1). Directed Algebraic Topology and Concurrency.

by Lisbeth Fajstrup,Eric Goubault,Samuel Mimram,Martin Raussen,Emmanuel Haucourt. Share your thoughts Complete your review. Tell readers what you thought by rating and reviewing this book.

Rate it * You Rated it *Brand: Springer International Publishing. This book surveys the fundamental ideas of algebraic topology. The first part covers the fundamental group, its definition and application in the study of covering spaces.

The second part turns to homology theory including cohomology, cup products, cohomology operations and topological manifolds/5(7). Directed algebraic topology and concurrency. [Lisbeth Fajstrup; Eric Goubault; Emmanuel Haucourt; Samuel Mimram; Martin Raussen;] -- This monograph presents an application of concepts and methods from algebraic topology to models of concurrent processes in computer science and their analysis.

The target audience for this book consists of. Directed Algebraic Topology and Concurrency: This monograph presents an application of concepts and methods from algebraic topology to models of concurrent processes in computer science and their well-known discrete models for concurrent processes in resource management as a point of departure, the book goes on to refine combinatorial and topological models.

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The 20 years since the publication of this book have been an era of continuing growth and development in the field of algebraic topology.

New generations of young mathematicians have been trained, and classical problems have been solved, particularly through the application of geometry and knot theory.

Diverse new resources for introductory coursework have appeared, but there is persistent 5/5(2). Algebraic General Topology: Book 3: Algebra Limit of a Discontinuous Function The " Basics " book generalizes together topological spaces, pretopological spaces, closure spaces, (quasi-)proximity spaces, (directed) graphs (=binary relations) into one concept of funcoids, and both uniform spaces and (directed) graphs (=binary relations) are.

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