Categorical Structure of Closure Operators: With Applications to Topology, Algebra and Discrete Mathematics
Dikran N. Dikranjan, Walter Tholen · 1995
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.