Homotopy Type Theory localization > history (Rev #7)

Idea

Localization is the process of inverting a specified class of maps.

Consider a family $F:\prod_{(a:A)} B(a) \to C(a)$ of maps. We say that a type $X$ is $F$ -local if the function

\lambda g . g (F(a)) : (C(a) \to X) \to (B(a) \to X)

is an equivalence for all (a : A).

TODO: Localisation as a HIT?

Revision on January 19, 2019 at 18:30:40 by Ali Caglayan. See the history of this page for a list of all contributions to it.