Category:Definitions/Indexed Families
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This category contains definitions related to Indexed Families.
Related results can be found in Category:Indexed Families.
The image $\Img x$, consisting of the terms $\family {x_i}_{i \mathop \in I}$, along with the indexing function $x$ itself, is called a family of elements of $S$ indexed by $I$.
Subcategories
This category has only the following subcategory.
S
Pages in category "Definitions/Indexed Families"
The following 55 pages are in this category, out of 55 total.
C
- Definition:Cartesian Product of Family
- Definition:Cartesian Product of Family/Definition 1
- Definition:Cartesian Product of Family/Definition 2
- Definition:Cartesian Product/Cartesian Space/Family of Sets
- Definition:Cartesian Product/Cartesian Space/Family of Sets/Definition 1
- Definition:Cartesian Product/Cartesian Space/Family of Sets/Definition 2
- Definition:Cartesian Product/Family of Sets
- Definition:Cartesian Product/Family of Sets/Axiom of Choice
I
- Definition:Index (Indexing Set)
- Definition:Index Set
- Definition:Indexed Cartesian Space
- Definition:Indexed Family
- Definition:Indexed Family of Sets
- Definition:Indexed Family of Subsets
- Definition:Indexed Set
- Definition:Indexing Function
- Definition:Indexing Set
- Definition:Indexing Set/Also known as
- Definition:Indexing Set/Family
- Definition:Indexing Set/Family of Distinct Elements
- Definition:Indexing Set/Family of Sets
- Definition:Indexing Set/Family of Subsets
- Definition:Indexing Set/Function
- Definition:Indexing Set/Index
- Definition:Indexing Set/Indexed Set
- Definition:Indexing Set/Notation
- Definition:Indexing Set/Note on Terminology
- Definition:Indexing Set/Term
- Definition:Intersection of Family
- Definition:Intersection of Family of Subsets
- Definition:Intersection of Family of Two Sets
S
- Definition:Sequence
- Definition:Set Intersection/Family of Sets
- Definition:Set Intersection/Family of Sets/Subsets of General Set
- Definition:Set Intersection/Family of Sets/Two Sets
- Definition:Set Intersection/Family of Sets/Universal Set
- Definition:Set of Indices
- Definition:Set Product/Family of Sets
- Definition:Set Union/Family of Sets
- Definition:Set Union/Family of Sets/Subsets of General Set
- Definition:Set Union/Family of Sets/Two Sets
- Definition:Set Union/Family of Sets/Universal Set
- Definition:Subfamily
- Definition:Supremum of Set/Real Numbers/Propositional Function
- Definition:Supremum of Set/Real Numbers/Propositional Function/Finite Range