# 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 is frequently referred to as the universe.

## 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