Wild omega-Categories for the Homotopy Hypothesis in Type Theory
Wild omega-Categories for the Homotopy Hypothesis in Type Theory
In classical homotopy theory, the homotopy hypothesis asserts that the fundamental varpi-groupoid construction induces an equivalence between topological spaces and weak varpi-groupoids. In the light of Voevodsky's univalent foundations program, which puts forward an interpretation of types as topological spaces, we consider the question of transposing the homotopy hypothesis to …