Article
Algunos espacios topológicos que admiten una medida-categoría
Author/s | Ayerbe Toledano, José María |
Department | Universidad de Sevilla. Departamento de Análisis Matemático |
Publication Date | 1984 |
Deposit Date | 2016-11-17 |
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Abstract | Let X be a topological space. A category measure m on X is a countably aditive finite measure defined on the σ-algebra formed by all sets with the Baire property, such that m(E)=0 iff E is of Baire first category. It is ... Let X be a topological space. A category measure m on X is a countably aditive finite measure defined on the σ-algebra formed by all sets with the Baire property, such that m(E)=0 iff E is of Baire first category. It is known that one can define a density topology on every space of finite measure X such that X becomes a category measure space. In this paper some conditions are given so that a topological space be a category measure space. |
Citation | Ayerbe Toledano, J.M. (1984). Algunos espacios topológicos que admiten una medida-categoría. Collectanea Mathematica, 35 (3), 221-232. |
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