homotopy equivalence
Homotopy equivalence is a mathematical concept that describes a relationship between two topological spaces. It occurs when there is a continuous function between the spaces and its inverse, such that the composition of the two functions is homotopic to the identity maps on each space. In simpler terms, two spaces are homotopy equivalent if they can be deformed into each other continuously, without tearing or gluing, while preserving certain topological properties.
Requires login.