Juan Angoa Amador, Agustín Contreras Carreto, Jesús González Sandoval
{"title":"(E,M)−estructuras inducidas en categorías topológicas","authors":"Juan Angoa Amador, Agustín Contreras Carreto, Jesús González Sandoval","doi":"10.18273/revint.v39n2-2021006","DOIUrl":null,"url":null,"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.","PeriodicalId":402331,"journal":{"name":"Revista Integración","volume":"4 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2021-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Revista Integración","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.18273/revint.v39n2-2021006","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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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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