Algunos espacios topológicos que admiten una medida-categoría

Autores: José María Ayerbe Toledano
Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 35, Fasc. 3, 1984, págs. 221-231
Idioma: español
Títulos paralelos:
- Some topological spaces which admit a category measure
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Resumen
- Let $X$ be a topological space. A category measure $m$ on $X$ is a countably aditive finite measure defined on the $\sigma$-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.