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math.CT2021★ 1 cited
The effective model structure and -groupoid objects
Nicola Gambino, Simon Henry, Christian Sattler +1
For a category with finite limits and well-behaved countable coproducts, we construct a model structure, called the effective model structure, on the category of simpl…
math.CT2017★ 1 cited
Internal Languages of Finitely Complete -categories
Chris Kapulkin, Karol Szumiło
We prove that the homotopy theory of Joyal's tribes is equivalent to that of fibration categories. As a consequence, we deduce a variant of the conjecture asserting that Martin-Löf…