Homotopy Type Theory
open problems

A list of (believed to be) open problems in homotopy type theory. To add more detail about a problem (such as why it is hard or interesting, or what ideas have been tried), make a link to a new page.

Semantics

Metatheory

Homotopy theory and algebraic topology

Higher algebra and higher category theory

Other mathematics

In cohesive homotopy type theory

Formalization

Other lists of open problems

Closed problems

How about keeping a running list of solutions like this:?

Maybe only things not in the HoTT book? Else the list of solved problems gets very long!

OK, here’s the rule: if it was stated here (or on the UF-wiki) as an open problem, then it gets recorded here once it’s solved.