Homotopy theory (nonfiction): Difference between revisions
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In [[Mathematics (nonfiction)|mathematics]], '''homotopy theory''' is a systematic study of situations in which maps come with homotopies between them. It originated as a topic in algebraic topology but nowadays it is studied as an independent discipline. Besides algebraic topology, the theory has also been in used in other areas of mathematics such as algebraic geometry (e.g., A¹ homotopy theory) and category theory (specifically the study of higher categories). | In [[Mathematics (nonfiction)|mathematics]], '''homotopy theory''' is a systematic study of situations in which maps come with homotopies between them. It originated as a topic in algebraic topology but nowadays it is studied as an independent discipline. Besides algebraic topology, the theory has also been in used in other areas of mathematics such as algebraic geometry (e.g., A¹ homotopy theory) and category theory (specifically the study of higher categories). | ||
* [https://en.wikipedia.org/wiki/Homotopy_theory Homotopy theory] @ Wikipedia | |||
Revision as of 10:20, 8 May 2020
In mathematics, homotopy theory is a systematic study of situations in which maps come with homotopies between them. It originated as a topic in algebraic topology but nowadays it is studied as an independent discipline. Besides algebraic topology, the theory has also been in used in other areas of mathematics such as algebraic geometry (e.g., A¹ homotopy theory) and category theory (specifically the study of higher categories).
- Homotopy theory @ Wikipedia