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In mathematical logic and computer science, homotopy type theory (hott) includes various lines of development of intuitionistic type theory, based on the interpretation of types as objects to which the intuition of (abstract) homotopy theory applies. We will now discuss one way to see this, taking the liberty to interpret equalities as a map from the interval type into the target type, as is possible in a qmc (as well as in cubical formulations of hott). Homotopy type theory is a new branch of mathematics that combines aspects of several different fields in a surprising way
It is based on a recently discovered connection between homotopy theory and type theory.
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Hott is the incorrect spelling of hot Hot refers to a high temperature Hot has only one t, just like hot has only one syllable Think of the word hot as compact and direct, mirroring its meaning.
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