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Categorical Structure of Closure Operators: With Applications to Topology, Algebra & Discrete Mathematics Book

Categorical Structure of Closure Operators: With Applications to Topology, Algebra & Discrete Mathematics
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Categorical Structure of Closure Operators: With Applications to Topology, Algebra & Discrete Mathematics, This book provides a comprehensive categorical theory of closure operators, with applications to topological and uniform spaces, groups, R-modules, fields and topological groups, as well as partially ordered sets and graphs. In particular, closure operato, Categorical Structure of Closure Operators: With Applications to Topology, Algebra and Discrete Mathematics
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  • Categorical Structure of Closure Operators: With Applications to Topology, Algebra and Discrete Mathematics
  • Written by author D. Dikranjan
  • Published by Springer-Verlag New York, LLC, 12/3/2010
  • This book provides a comprehensive categorical theory of closure operators, with applications to topological and uniform spaces, groups, R-modules, fields and topological groups, as well as partially ordered sets and graphs. In particular, closure operato
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Preface. Introduction. 1. Preliminaries on Subobjects, Images, and Inverse Images. 2. Basic Properties of Closure Operators. 3. Examples of Closure Operators. 4. Operations on Closure Operators. 5. Closure Operators, Functors, Factorization Systems. 6. Regular Closure Operators. 7. Subcategories Defined by Closure Operators. 8. Epimorphisms and Cowellpoweredness. 9. Dense Maps and Pullback Stability. Bibliography. Index of Definitions. Notation Index. Tables of Results.


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Categorical Structure of Closure Operators: With Applications to Topology, Algebra & Discrete Mathematics, This book provides a comprehensive categorical theory of closure operators, with applications to topological and uniform spaces, groups, R-modules, fields and topological groups, as well as partially ordered sets and graphs. In particular, closure operato, Categorical Structure of Closure Operators: With Applications to Topology, Algebra and Discrete Mathematics

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Categorical Structure of Closure Operators: With Applications to Topology, Algebra & Discrete Mathematics, This book provides a comprehensive categorical theory of closure operators, with applications to topological and uniform spaces, groups, R-modules, fields and topological groups, as well as partially ordered sets and graphs. In particular, closure operato, Categorical Structure of Closure Operators: With Applications to Topology, Algebra and Discrete Mathematics

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Categorical Structure of Closure Operators: With Applications to Topology, Algebra & Discrete Mathematics, This book provides a comprehensive categorical theory of closure operators, with applications to topological and uniform spaces, groups, R-modules, fields and topological groups, as well as partially ordered sets and graphs. In particular, closure operato, Categorical Structure of Closure Operators: With Applications to Topology, Algebra and Discrete Mathematics

Categorical Structure of Closure Operators: With Applications to Topology, Algebra & Discrete Mathematics

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