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

Bijections‎ (14 C, 60 P)
Boundedness‎ (11 C, 24 P)

C

Cantor's Diagonal Argument‎ (1 C, 2 P)
Cardinality of Set of All Mappings‎ (9 P)
Cartesian Product‎ (20 C, 63 P)
Characteristic Functions‎ (5 C, 18 P)
Closedness under Mappings‎ (1 C, 3 P)
Closure Operators‎ (9 C, 29 P)
Codomains (Relation Theory)‎ (empty)
Complex Functions‎ (empty)
Composite Mappings‎ (11 C, 67 P)
Composition of Commuting Idempotent Mappings is Idempotent‎ (3 P)
Constant Mappings‎ (2 C, 26 P)
Continuity‎ (18 C, 28 P)
Continuous Linear Transformations‎ (13 P)
Continuous Operators‎ (1 P)

D

Decreasing Mappings‎ (1 C, 3 P)

E

Empty Mapping‎ (6 P)
Equality of Mappings‎ (1 C, 2 P)
Examples of Mappings‎ (3 C, 18 P)
Examples of Mistakes in Mapping Definitions‎ (5 P)
Examples of Multifunctions‎ (empty)
Examples of Preimages of Mappings‎ (empty)
Examples of Solution Sets‎ (4 P)

F

Functions‎ (1 C)

G

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

H

Homomorphisms‎ (11 C, 33 P)

I

Idempotence‎ (6 C, 25 P)
Idempotent Mappings‎ (2 P)
Identity Mappings‎ (8 C, 47 P)
Images‎ (7 C, 25 P)
Inclusion Mappings‎ (1 C, 21 P)
Increasing Mappings‎ (2 C, 24 P)
Indexed Families‎ (6 C, 45 P)
Induced Mappings‎ (2 C)
Inflationary Mappings‎ (1 C)
Injections‎ (15 C, 69 P)
Inverse Mappings‎ (9 C, 39 P)
Inverses of Mappings‎ (empty)
Involutions‎ (9 P)

L

Left Inverse Mappings‎ (4 C, 4 P)

M

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

N

Nests of Mappings‎ (4 C, 4 P)
Norm Theory‎ (9 C, 24 P)

O

Ordered Tuples‎ (1 C)

P

Parametric Equations‎ (empty)
Pointwise Operations‎ (6 C, 26 P)
Preimage of Subset under Mapping‎ (1 P)
Preimages‎ (5 C)
Preimages under Mappings‎ (5 C, 22 P)
Progressing Mappings‎ (14 C, 17 P)
Projections‎ (4 C, 34 P)

Q

Quotient Mappings‎ (5 C, 20 P)
Quotient Theorem for Sets‎ (4 P)

R

Real Functions‎ (7 C, 10 P)
Recursive Definitions‎ (1 C, 1 P)
Relation Theory‎ (52 C, 46 P)
Relations‎ (2 C, 3 P)
Renaming Mapping is Well-Defined‎ (3 P)
Restrictions‎ (3 C, 39 P)
Right Inverse Mappings‎ (1 C, 2 P)

S

Sequences‎ (34 C, 36 P)
Successor Mapping‎ (2 C, 10 P)
Surjections‎ (10 C, 72 P)
Symmetric Functions‎ (empty)
Symmetry Mappings‎ (1 C, 3 P)

T

Translation Mappings‎ (1 C, 8 P)

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

D

Difference of Positive and Negative Parts

E

F

I

L

Limit Inferior of Repetition Moore-Smith Sequence

M

N

Natural Number Functions are Uncountable

P

Q

Quotient Theorem for Sets

R

S

U

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