👉 In mathematics, a homotopy is a continuous function that maps each point of a space into one of its boundary points. A homotopy is a fundamental concept in topology and knot theory, as it describes how two surfaces can be continuously transformed to form a new surface without overlapping or intersecting. A homotopic map is a homotopy between two maps that are continuous and agree at every point of their domain (the space itself). In other words, if two maps f and g
