# Closed map

From Topospaces

*This article defines a property of continuous maps between topological spaces*

## Contents

## Definition

### Symbol-free definition

A continuous map between topological spaces is termed a **closed map** if it satisfies the following equivalent properties:

- The image of any closed subset is closed

## Relation with other properties

### Stronger properties

### Weaker properties

- Quotient map (if we assume surjectivity)