Epimorphisms and acyclic types in univalent foundations
(2024)
Journal Article
Buchholtz, U., De Jong, T., & Rijke, E. (in press). Epimorphisms and acyclic types in univalent foundations. Journal of Symbolic Logic,
We characterize the epimorphisms in homotopy type theory (HoTT) as the fiberwise acyclic maps and develop a type-theoretic treatment of acyclic maps and types in the context of synthetic homotopy theory as developed in univalent foundations. We prese... Read More about Epimorphisms and acyclic types in univalent foundations.