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math.CT2026
The Leibniz adjunction in homotopy type theory, with an application to simplicial type theory
Tom de Jong, Nicolai Kraus, Axel Ljungström
Simplicial type theory extends homotopy type theory and equips types with a notion of directed morphisms. A Segal type is defined to be a type in which these directed morphisms can…
math.CT2025
A study of Kock's fat Delta
Tom de Jong, Nicolai Kraus, Simona Paoli +1
Motivated by the study of weak identity structures in higher category theory we explore the fat Delta category, a modification of the simplex category introduced by J. Kock and pro…