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Shape Theory: Categorical Methods of Approximation
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Shape Theory: Categorical Methods of Approximation
Our Price:$14.95
Availability:In Stock
Environment:Made in USA
Author/Editor: J. M. Cordier, T. Porter
ISBN 10:048646623X
Product Info:Details, Table of Contents
This in-depth treatment uses shape theory as a "case study" to illustrate situations common to many areas of mathematics, including the use of archetypal models as a basis for systems of approximations. It offers students a unified and consolidated presentation of extensive research from category the...  read more
 


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Product Description:

This in-depth treatment uses shape theory as a "case study" to illustrate situations common to many areas of mathematics, including the use of archetypal models as a basis for systems of approximations. It offers students a unified and consolidated presentation of extensive research from category theory, shape theory, and the study of topological algebras.
A short introduction to geometric shape explains specifics of the construction of the shape category and relates it to an abstract definition of shape theory. Upon returning to the geometric base, the text considers simplical complexes and numerable covers, in addition to Morita's form of shape theory. Subsequent chapters explore Bénabou's theory of distributors, the theory of exact squares, Kan extensions, the notion of a stable object, and stability in an Abelian context. The text concludes with a brief description of derived functors of the limit functor theory—the concept that leads to movability and strong movability of systems—and illustrations of the equivalence of strong movability and stability in many contexts.
Reprint of the Ellis Horwood Limited, Chichester, England, 1989 edition.
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Product Details:

ISBN 10: 048646623X
ISBN 13: 9780486466231
Author/Editor: J. M. Cordier, T. Porter
Format: Book
Page Count: 208
Dimensions: 6 1/8 x 9 1/4
Publication date: May 2008
Table of Contents: Click here to view the Table of Contents

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