Category:Set Systems
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This category contains results about Set Systems.
Definitions specific to this category can be found in Definitions/Set Systems.
A set of sets is a set whose elements are themselves all sets.
Those elements can themselves be assumed to be subsets of some particular given set which can be referred to as the universal set.
Subcategories
This category has the following 14 subcategories, out of 14 total.
A
C
- Countably Additive Functions (2 P)
D
- Dynkin Systems (8 P)
E
- Examples of Sets of Sets (4 P)
F
- Finite Intersection Property (empty)
I
M
- Magmas of Sets (5 P)
R
S
Pages in category "Set Systems"
The following 19 pages are in this category, out of 19 total.
A
C
- Cardinality is Additive Function
- Closure of Intersection and Symmetric Difference imply Closure of Set Difference
- Closure of Intersection and Symmetric Difference imply Closure of Union
- Closure of Union and Complement imply Closure of Set Difference
- Countably Additive Function also Finitely Additive
- Countably Additive Function of Null Set