Sudden contracting homotopy
This term is nonstandard and is being used locally within the wiki. For its use outside the wiki, please define the term when using it.
Let be a topological space. A sudden contracting homotopy on is a map such that:
- For any , the map sending to is a homeomorphism
- There exists a point such that
A topological space which has a sudden contracting homotopy is termed a suddenly contractible space.