Reflective and coreflective subcategories of the topological spaces category

Often working in certain areas of mathematics and its applications in other branches of science, fortified building objects from universal properties of given objects. These ideas motivate the definitions of coreflective and reflective subcategories, expressing notions improvement, optimization and...

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Detalles Bibliográficos
Autores Principales: Hernández P., Jorge A., Montañez P., José R.
Formato: Artículo (Article)
Lenguaje:Español (Spanish)
Publicado: Universidad Distrital Francisco José de Caldas 2014
Materias:
Acceso en línea:http://hdl.handle.net/11349/21819
Descripción
Sumario:Often working in certain areas of mathematics and its applications in other branches of science, fortified building objects from universal properties of given objects. These ideas motivate the definitions of coreflective and reflective subcategories, expressing notions improvement, optimization and density. In this article we review the theory of reflective and coreflective subcategories of the category of topological spaces and proposes new methods of construction of these categories in the category of topological spaces and in the category of topological spaces with base point