Cofinite subsets and double negation topologies on locales of filters and ideals

Luis Español, José Manuel García-Calcines, M. Carmen Mínguez

We study the role of the filter $c\mathcal{K}(X)$ of cofinite subsets of $X$ in the locale $\mathcal{F}ilt(X)$ of all filters on $X$, by means of the double negation topology of $\…