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A **model category** is a concept from category theory, which is a branch of mathematics that deals with abstract structures and relationships between them. Specifically, a model category provides a framework for doing homotopy theory in a categorical setting. It allows mathematicians to work with "homotopical" concepts such as homotopy equivalences, fibrations, and cofibrations in a systematic way.

Ancestors (6)

  1. Homotopy theory
  2. Algebraic topology
  3. Fields of abstract algebra
  4. Fields of mathematics
  5. Mathematics
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