Categorical Closure Operators Book

	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