: Mathematics: homotopy theory

topology > algebraic topology > homotopy theory

homotopy theory

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).
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Homotopy_theory)

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