# Category:Mapping Theory

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This category contains results about **Mapping Theory**.

Definitions specific to this category can be found in Definitions/Mapping Theory.

**Mapping theory** is the subfield of set theory concerned with the properties of mappings.

## Subcategories

This category has the following 71 subcategories, out of 71 total.

### B

### C

- Codomains (Relation Theory) (empty)
- Complex Functions (empty)
- Continuous Operators (1 P)

### D

### E

- Empty Mapping (6 P)
- Examples of Multifunctions (empty)
- Examples of Preimages of Mappings (empty)
- Examples of Solution Sets (4 P)

### F

### G

- G-Sets (1 P)
- Graphs of Mappings (4 P)

### H

### I

- Idempotent Mappings (2 P)
- Inverses of Mappings (empty)
- Involutions (9 P)

### L

### M

- Many-to-One Relations (1 P)
- Monotone Mappings (4 P)

### N

### O

### P

- Parametric Equations (empty)

### Q

- Quotient Theorem for Sets (4 P)

### R

### S

- Symmetric Functions (empty)

### T

### U

- Union Mappings (5 P)

### W

- Well-Defined Mappings (5 P)

## Pages in category "Mapping Theory"

The following 48 pages are in this category, out of 48 total.

### C

- Cantor's Diagonal Argument
- Cardinality of Extensions of Function on Subset of Finite Set
- Cardinality of Mapping
- Cardinality of Set of All Mappings
- Cardinality of Set of All Mappings from Empty Set
- Cardinality of Set of All Mappings to Empty Set
- Complement of Preimage equals Preimage of Complement
- Composition of Commuting Idempotent Mappings is Idempotent
- Composition of Inflationary and Idempotent Mappings
- Composition of Mapping with Mapping Restricted to Image
- Condition for Agreement of Family of Mappings