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math.CT2022
Flat functors in higher topos theory
George Raptis, Daniel Schäppi
For a small -category and an -topos , we study necessary and sufficient conditions for a functor to determin…
math.CT2021
Higher weak (co)limits, adjoint functor theorems, and higher Brown representability
Hoang Kim Nguyen, George Raptis, Christoph Schrade
We prove general adjoint functor theorems for weakly (co)complete -categories. This class of -categories includes the homotopy -categories of (co)complete -categor…
math.CT2018★ 10 cited
Adjoint functor theorems for -categories
Hoang Kim Nguyen, George Raptis, Christoph Schrade
Adjoint functor theorems give necessary and sufficient conditions for a functor to admit an adjoint. In this paper we prove general adjoint functor theorems for functors between $\…