# 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 fixed set which is frequently referred to as the universe.

## Subcategories

This category has the following 10 subcategories, out of 10 total.

### A

### D

### E

### M

### R

### S

## Pages in category "Set Systems"

The following 22 pages are in this category, out of 22 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