A simple characterization of Quillen adjunctions

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

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Publication Details

Journal
Journal of Homotopy and Related Structures
Published
2026-08-24
DOI
https://doi.org/10.1007/s40062-026-00411-1
Citations
1
Primary Topic
Mathematics and Applications
Type
article
Field-Weighted Citation Impact
16.41

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article

A simple characterization of Quillen adjunctions

Victor Carmona
1 citations
Journal of Homotopy and Related Structures
Mathematics and Applications
16.41
article

A simple characterization of Quillen adjunctions

Victor Carmona
article en
1 citations

Abstract

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

Journal of Homotopy and Related Structures
Max Planck Institute for Mathematics in the Sciences (DE)
Max-Planck-Institut für Mathematik in den Naturwissenschaften, Agencia Estatal de Investigación
Openalex Percentile: Top 4%
Mathematics and Applications
16.41
DOIOpen Access PDFOpenAlex
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A simple characterization of Quillen adjunctions — Victor Carmona · Journal of Homotopy and Related Structures (2026) | TGRS Research Map | TGRS