Revista Integración, temas de matemáticas.

Revista Integración, temas de matemáticas

Vol. 39 No. 2 (2021): Revista Integración, temas de matemáticas
Research and Innovation Articles

Induced (E,M)−structures on Topological Categories

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  • Juan Angoa Amador,
  • Agustín Contreras Carreto,
  • Jesús González Sandoval
Juan Angoa Amador
Benemérita Universidad Autónoma de Puebla, Facultad de Ciencias Físico Matemáticas, Puebla, México.
Agustín Contreras Carreto
Benemérita Universidad Autónoma de Puebla, Facultad de Ciencias Físico Matemáticas, Puebla, México.
Jesús González Sandoval
Benemérita Universidad Autónoma de Puebla, Facultad de Ciencias Físico Matemáticas, Puebla, México.
DOI: https://doi.org/10.18273/revint.v39n2-2021006

Published 2021-10-08

Keywords

  • (E,M)−category,
  • initial lift,
  • topological category,
  • topological functor

How to Cite

Angoa Amador, J., Contreras Carreto, A., & González Sandoval, J. (2021). Induced (E,M)−structures on Topological Categories. Revista Integración, Temas De matemáticas, 39(2), 241–256. https://doi.org/10.18273/revint.v39n2-2021006

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This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

In this paper, we describe a convenient categorical structure with respect to a class of monomorphisms M and epimorphisms E for any topological category. We show in particular that the structure that we introduce here, which is induced by topological functors and their initial liftings, allows the study of some M−coreflective subcategories of a topological category. We pay special attention to projective structures.

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