Algunos espacios topológicos que admiten una medida-categoría

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J. M. (José María) Ayerbe Toledano
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.

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Ayerbe Toledano, J. M. (José María). “Algunos espacios topológicos que admiten una medida-categoría”. Collectanea Mathematica, vol.VOL 35, no. 3, pp. 221-32, https://raco.cat/index.php/CollectaneaMathematica/article/view/57105.