Source: wikibot/simple-homotopy-equivalence
= Simple-homotopy equivalence
{wiki=Simple-homotopy_equivalence}
Simple homotopy equivalence is a concept in algebraic topology that provides a way to compare topological spaces in terms of their deformation properties. More specifically, it focuses on the notion of homotopy equivalence under certain simplifications. Two spaces \\( X \\) and \\( Y \\) are said to be *simple homotopy equivalent* if there exists a sequence of simple homotopy equivalences between them.