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Book Categories |
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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Add 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 to the inventory that you are selling on WonderClubX
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Add 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 to your collection on WonderClub |