# homotopy

## English[edit]

### Noun[edit]

**homotopy** (*plural* **homotopies**)

- (topology) A continuous deformation of one continuous function to another.
- (topology) A theory associating a system of groups with each topological space.
- (topology) A system of groups associated with a topological space.

#### Hyponyms[edit]

- (continuous deformation): isotopy

#### Translations[edit]

(topology) continuous deformation of one continuous function to another

(topology) theory associating a system of groups with each topological space