# Category:Infinite Sets

Jump to navigation
Jump to search

This category contains results about Infinite Sets.

Definitions specific to this category can be found in Definitions/Infinite Sets.

A set which is not finite is called **infinite**.

That is, it is a set for which there is no bijection between it and any $\N_n$, where $\N_n$ is the the set of all elements of $n$ less than $n$, no matter how big we make $n$.

## Subcategories

This category has the following 4 subcategories, out of 4 total.

### C

### I

### U

## Pages in category "Infinite Sets"

The following 20 pages are in this category, out of 20 total.

### C

### I

### S

- Set is Infinite iff exist Subsets of all Finite Cardinalities
- Set of Points on Line Segment is Infinite
- Set of Subset of Reals with Cardinality less than Continuum has not Interval in Union Closure
- Set of Subsets of Reals with Cardinality less than Continuum Cardinality of Local Minimums of Union Closure less than Continuum