Back نظرية التجانس Arabic Teoría de la homotopía Spanish Théorie de l'homotopie French Homotopietheorie Dutch Teoria homotopii Polish Teoria da homotopia Portuguese
In mathematics, homotopy theory is a systematic study of situations in which maps can come with homotopies between them. It originated as a topic in algebraic topology, but nowadays is learned as an independent discipline. Besides algebraic topology, the theory has also been used in other areas of mathematics such as algebraic geometry (e.g., A1 homotopy theory) and category theory (specifically the study of higher categories).