On flat 2-functors with an eye towards 2-toposes:
Maria Emilia Descotte, Eduardo J. Dubuc, Martin Szyld: A construction of certain weak colimits and an exactness property of the 2-category of categories, Theory and Applications of Categories 33 8 (2018) 193–215 [arXiv:1610.02453, doi:10.70930/tac/ojwotgya]
Maria Emilia Descotte, Eduardo J. Dubuc, Martin Szyld: Sigma limits in 2-categories and flat pseudofunctors, Advances in Mathematics 333 31 (2018) 266–313 [arXiv:1610.09429, doi:10.1016/j.aim.2018.05.021]
On pro-objects in 2-category theory:
On localizations of 2-categories:
Maria E. Descotte, Eduardo J. Dubuc, M. Szyld, A localization of bicategories via homotopies, Theory and Applications of Categories 35 23 (2020) 845-874 [tac:2020 MR4112764]
Maria E. Descotte, Eduardo J. Dubuc, M. Szyld, Model bicategories and their homotopy bicategories, Adv. Math. B 404 (2022) 108455 [arXiv:1805.07749 doi:10.1016/j.aim.2022.108455]
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