👉 In mathematics and topology, a homotopy is a continuous function between spaces that preserves certain properties of the space being modeled. This means that given two spaces X and Y with continuous functions f and g respectively, there exists a continuous function h such that: h(x) = f(g(x)) for all x in X and h(y) = g(f(y)). This relationship between homotopies and continuous functions is a fundamental concept in topology. It allows us to define certain types of
