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Shape Theory: Categorical Methods of Approximation (Ellis Horwood Series in Mathematics & Its Applications) - Hardcover
Synopsis
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 a unified, consolidated presentation of research on category theory, shape theory, and the study of topological algebras. 1989 edition.
"synopsis" may belong to another edition of this title.
Synopsis
Geometric shape theory, as developed by Borsuk and others, exemplifies a process which is common in mathematical reasoning, using known information on the topology of polyhedra to obtain analogous information on arbitrary compact (metric) spaces. This book clarifies the different treatments of shape theory, treating the categorical form in depth for the first time. It treats geometric shape theory as a "case study" to illustrate and motivate general ideas relevant to any situation in which certain archetypal models are used as a basis for systems of approximations to more general objects, a situation occuring in many areas of mathematics.
"About this title" may belong to another edition of this title.
- PublisherEllis Horwood Ltd , Publisher
- Publication date1989
- ISBN 10 0138080232
- ISBN 13 9780138080235
- BindingHardcover
- LanguageEnglish
- Number of pages496
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