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MiS Preprint
54/2024

A simple characterization of Quillen adjunctions

Víctor Carmona Sánchez

Abstract

We observe that an enriched right adjoint functor between model categories which preserves acyclic fibrations and fibrant objects is quite generically a right Quillen functor.

Received:
26.08.24
Published:
26.08.24
MSC Codes:
18N40, 18N55, 55U35
Keywords:
Model categories, Quillen adjunction, Quillen functor