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Categorical Closure Operators Book

Categorical Closure Operators
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Categorical Closure Operators, Categorical Closure Operators is self-contained 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 to, Categorical Closure Operators
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  • Categorical Closure Operators
  • Written by author Gabriele Castellini
  • Published by Birkhauser Verlag, 12/31/2012
  • Categorical Closure Operators is self-contained 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 to
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Book Categories

Authors

Preface
Introduction
I General Theory 1
1 Galois Connections 3
2 Some Categorical Concepts 9
3 Factorization Structures for Sinks 25
4 Closure Operators: Definition and Examples 41
5 Idempotency, Weak Heredity and Factorization Structures 57
6 Additivity, Heredity, Suprema, and Infima of Closure Operators 65
7 Additional Descriptions of C and C and Subobject Orthogonality 81
8 A Diagram of Galois Connections of Closure Operators 95
9 Regular Closure Operators 109
10 Hereditary Regular Closure Operators 123
II Applications 129
11 Epimorphisms 131
12 Separation 137
13 Compactness 165
14 Connectedness 197
15 Connectedness in Categories with a Terminal Object 231
16 A Link between two Connectedness Notions 255
17 Different Constructions Related 271
References 279
List of Symbols 289
Index 295


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Categorical Closure Operators, Categorical Closure Operators is self-contained 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 to, Categorical Closure Operators

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Categorical Closure Operators, Categorical Closure Operators is self-contained 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 to, Categorical Closure Operators

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Categorical Closure Operators, Categorical Closure Operators is self-contained 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 to, Categorical Closure Operators

Categorical Closure Operators

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