Category:Definitions/Mapping Theory
This category contains definitions related to Mapping Theory.
Related results can be found in Category:Mapping Theory.
Mapping theory is the subfield of set theory concerned with the properties of mappings.
Subcategories
This category has the following 32 subcategories, out of 32 total.
B
C
D
G
I
M
N
O
P
R
S
T
Pages in category "Definitions/Mapping Theory"
The following 159 pages are in this category, out of 159 total.
A
C
- Definition:Canonical Surjection
- Definition:Characteristic Mapping
- Definition:Closed Set under Closure Operator
- Definition:Closed Set/Closure Operator
- Definition:Closed under Mapping
- Definition:Closed under Mapping/Arbitrary Product
- Definition:Codomain (Set Theory)/Mapping
- Definition:Codomain of Mapping
- Definition:Combinable
- Definition:Combinable Mappings
- Definition:Combinable/Mappings
- Definition:Commutative Diagram
- Definition:Composition of Mappings
- Definition:Composition of Mappings/General Definition
- Definition:Constant Function
- Definition:Constant Mapping
D
F
I
- Definition:Idempotence
- Definition:Idempotent Mapping
- Definition:Identity Mapping
- Definition:Identity Operator
- Definition:Image (Set Theory)
- Definition:Image (Set Theory)/Mapping
- Definition:Inclusion Mapping
- Definition:Inclusion-Preserving Mapping
- Definition:Inclusion-Reversing Mapping
- Definition:Independent Variable
- Definition:Indexing Set
- Definition:Induced Equivalence
- Definition:Inflationary Mapping
- Definition:Inflationary Mapping/Subset
- Definition:Injection
- Definition:Input
- Definition:Invariant Subset
- Definition:Inverse Mapping
- Definition:Inverse of Mapping
- Definition:Invertible Mapping
- Definition:Involution
- Definition:Involution (Mapping)
M
- Definition:Many-to-One Relation/Defined
- Definition:Many-to-One Relation/Defined/Element
- Definition:Many-to-One Relation/Defined/Set
- Definition:Mapping
- Definition:Mapping Induced on Powerset
- Definition:Mapping Theory
- Definition:Minimal/Mapping
- Definition:Monotone (Order Theory)/Mapping
- Definition:Monotone Mapping
- Definition:Multifunction
- Definition:Mutually Inverse Bijections
O
P
- Definition:Parametric Equation
- Definition:Partial Mapping
- Definition:Permutation
- Definition:Pointed Mapping
- Definition:Pointwise Addition
- Definition:Pointwise Inequality
- Definition:Pointwise Inequality of Extended Real-Valued Functions
- Definition:Pointwise Inequality of Real-Valued Functions
- Definition:Pointwise Maximum of Mappings
- Definition:Pointwise Minimum of Mappings
- Definition:Pointwise Multiplication
- Definition:Pointwise Operation
- Definition:Pointwise Operation on Number-Valued Functions
- Definition:Pointwise Scalar Multiplication
- Definition:Pointwise Scalar Multiplication of Complex-Valued Function
- Definition:Pointwise Scalar Multiplication of Integer-Valued Function
- Definition:Pointwise Scalar Multiplication of Number-Valued Function
- Definition:Pointwise Scalar Multiplication of Rational-Valued Function
- Definition:Pointwise Scalar Multiplication of Real-Valued Function
- Definition:Pointwise Supremum
- Definition:Pointwise Supremum of Extended Real-Valued Functions
- Definition:Pointwise Supremum of Real-Valued Functions
- Definition:Positive Part
- Definition:Power of Mapping
- Definition:Precomposition Mapping
- Definition:Preimage
- Definition:Preimage/Mapping
- Definition:Projection (Cartesian Product)
- Definition:Projection (Mapping Theory)
- Definition:Projection (Mapping Theory)/Family of Sets
- Definition:Projection (Mapping Theory)/First Projection
- Definition:Projection (Mapping Theory)/Second Projection
- Definition:Propositional Function
- Definition:Propositional Function/Examples
- Definition:Propositional Function/Satisfaction
R
- Definition:Range
- Definition:Recursively Defined Mapping
- Definition:Reflection (Geometry)
- Definition:Relation Isomorphism
- Definition:Relation Theory
- Definition:Renaming Mapping
- Definition:Restriction/Mapping
- Definition:Reverse Bijections
- Definition:Right Cancellable Mapping
- Definition:Right Inverse Mapping
- Definition:Rotation (Geometry)
S
- Definition:Second Projection
- Definition:Self-Map
- Definition:Sequence
- Definition:Set of All Mappings
- Definition:Set of Mappings
- Definition:Strictly Monotone Mapping
- Definition:Strictly Monotone/Mapping
- Definition:Successor Mapping
- Definition:Support of Permutation
- Definition:Supremum of Mapping
- Definition:Surjection
- Definition:Symmetry Mapping
