說明 
1 online resource (xii, 300 pages) 

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系列 
Mathematics : theory & applications 

Mathematics (Boston, Mass.)

附註 
Includes bibliographical references (p. [279]288) and index 

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Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2011. MiAaHDL 

Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212 MiAaHDL 

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This book presents the general theory of categorical closure operators together with examples and applications to the most common categories, such as topological spaces, fuzzy topological spaces, groups, and abelian groups. The main aim of the theory is to develop a categorical characterization of the classical basic concepts in topology via the newly introduced concept of categorical closure operators. This permits many topological ideas to be introduced in a topologyfree environment and imported afterwards into a new category, which often yields interesting new insights into its structure. The first part of the book deals with the general theory, starting with basic definitions and gradually moving to more advanced properties. The second part includes applications to the classical concepts of epimorphisms, separation, compactness and connectedness. Every chapter ends with exercises. A comprehensive list of references for the reader who wants to consult original works and a good index complete the book. "Categorical Closure Operators" is selfcontained and can be considered as a graduate level text for topics courses in category theory, algebra, and topology. The book appeals mainly to graduate students and researchers in category theory and categorical topology, and to those interested in categorical methods applied to the most common concrete categories. The reader is expected to have some basic knowledge of algebra, topology and category theory; however, all recurrent categorical concepts are included in a preliminary chapter 

Description based on print version record 
鏈接 
Print version: Castellini, Gabriele. Categorical closure operators. Boston : Birkhäuser, ©2003 (DLC) 2003044307 (OCoLC)51755760

主題 
Categories (Mathematics)


Closure operators


Kategorie <Mathematik>  Operator.
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Operator  Kategorie <Mathematik>.
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Categories (Mathematics) fast (OCoLC)fst00849000


Closure operators. fast (OCoLC)fst00864661


Electronic books

