# Category:Covers

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This category contains results about **Covers**.

Definitions specific to this category can be found in Definitions/Covers.

Let $S$ be a set.

A **cover for $S$** is a set of sets $\CC$ such that:

- $\ds S \subseteq \bigcup \CC$

where $\bigcup \CC$ denotes the union of $\CC$.

## Subcategories

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

### E

- Examples of Covers of Sets (2 P)

### S

- Subcovers (3 P)

## Pages in category "Covers"

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

### C

### E

### O

### S

- Set of Images of Reflexive Relation is Cover of Set
- Set of Intersections with Superset is Cover
- Sigma-Locally Finite Cover and Countable Locally Finite Cover have Common Locally Finite Refinement
- Sigma-Locally Finite Cover has Locally Finite Refinement
- Subcover is Refinement of Cover
- Subcover is Refinement of Cover/Corollary
- Subset of Cover is Cover of Subset