Shape Theory: Categorical Methods of Approximation - Brossura

Cordier, J. M.

 
9780486466231: Shape Theory: Categorical Methods of Approximation
Brossura
ISBN 10: 048646623X ISBN 13: 9780486466231
Casa editrice: Dover Pubns, 2008

Sinossi

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.

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Contenuti

Introduction Advice to the reader 1. Borsuk's shape theory for compact metric spaces 2. Categorical shape theory 3. Shape theory for topological spaces 4. Distributors and shape theory 5. Functors between shape theories 6. Stability and movability Appendix: Categorical shape theory and Pattern Recognition, a possible link References Index

Product Description

SHAPE THEORY: CATEGORICAL METHODS OF APPROXIMATION by J. M. CORDIER, T. PORTER, 9780486466231

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Editore
Dover Pubns
Data di pubblicazione
2008
Lingua
Inglese
ISBN 10 
048646623X
ISBN 13 
9780486466231
Rilegatura
Copertina flessibile
Numero di pagine
207
Contatto del produttore
non disponibile
Persona responsabile
Soc. Agr. La Raia Ss
http://www.la-raia.it

Strada Monterotondo, 79
Novi Ligure
15067
Italia

Altre edizioni note dello stesso titolo

9780745803852: Shape Theory: Categorical Methods of Approximation

Edizione in evidenza

ISBN 10:  0745803857 ISBN 13:  9780745803852
Casa editrice: Ellis Horwood Ltd , Publisher, 1989
Rilegato