Overview
- Castellini has worked in the area of categorical closure operators for over 15 years
- Combines theory with practice
- Includes many helpful examples to illustrate the concepts discussed
- Provides exercises for those interested in self-study
- Includes applications to classical concepts
Part of the book series: Mathematics: Theory & Applications (MTA)
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Table of contents (17 chapters)
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General Theory
Keywords
About this book
Reviews
"The book...presents the contemporary theory of categorical closure operators, one of the main branches of categorical topology. The purpose of the theory is to develop a categorical characterization of the classical topological concepts. It provides a tool that allows us to extend these concepts to an arbitrary category so that the results of the theory have many applications in other fields of mathematics, particularly topology, algebra, and discrete mathematics....
The benefit of the book is that, after introducing the reader to the general theory, it presents a number of applications based on quite recent results achieved in this field. Thus the book provides basic literature for those interested in the theory of closure operators and its applications. It is an excellent exposition of a part of modern mathematics."
— INTERNATIONALE MATHEMATISCHE NACHRICHTEN
"The book under review puts its emphasis on giving a fairly elementary introduction in to the basic categorical theory of closure operators (Part I) and of their use in categorical topology (Part II), paying particular attention to the author's work on notions of connectedness...
Each of the 17 section sof the book ends with a list of references for suggested further reading and a set of exercises, many of which ask the reader to verify claims made earlier in the text." ---ZENTRALBLATT MATH
Authors and Affiliations
Bibliographic Information
Book Title: Categorical Closure Operators
Authors: Gabriele Castellini
Series Title: Mathematics: Theory & Applications
DOI: https://doi.org/10.1007/978-0-8176-8234-7
Publisher: Birkhäuser Boston, MA
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eBook Packages: Springer Book Archive
Copyright Information: Springer Science+Business Media New York 2003
Hardcover ISBN: 978-0-8176-4250-1Published: 15 May 2003
Softcover ISBN: 978-1-4612-6504-7Published: 06 October 2012
eBook ISBN: 978-0-8176-8234-7Published: 06 December 2012
Edition Number: 1
Number of Pages: XII, 300
Topics: Category Theory, Homological Algebra, Partial Differential Equations, Applications of Mathematics, Statistics for Business, Management, Economics, Finance, Insurance