ANGOA-AMADOR, JUAN; CONTRERAS-CARRETO, AGUSTÍN    GONZALEZ-SANDOVAL, JESÚS. Induced (ℰ, ℳ)-structures on Topological Categories. []. , 39, 2, pp.241-256.   18--2022. ISSN 0120-419X.  https://doi.org/10.18273/revint.v39n2-2021006.

In this paper, we describe a convenient categorical structure with respect to a class of monomorphisms ℳ and epimorphisms E for any topo-logical 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.

MSC2010: 18A20, 18A32, 18G05, 54A05, 55U40.

: (ℰ; ℳ)-category; initial lift; topological category; topological functor.

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