Hausdorff separation in categories |
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Authors: | M Manuel Clementino |
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Institution: | (1) Departamento de Mathemática, Universidade de Coimbra, 3000 Coimbra, Portugal |
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Abstract: | Considering subobjects, points and a closure operator in an abstract category, we introduce a generalization of the Hausdorff separation axiom for topological spaces: the notion ofT
2-object. We discuss the properties ofT
2-objects, which depend essentially on the behaviour of points, and finally we relate them to the well-known separated objects.The results of this paper are essentially taken from the author's Ph. D. Thesis written under the supervision of Professors M. Sobral and W. Tholen and partially supported by a scholarship of I.N.I.C.-Instituto Nacional de Investigação Científica. |
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Keywords: | 18B30 18A40 54A05 54B30 54D10 |
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