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Jan 15, 2016 at 2:13 comment added Joseph Van Name The Stone space topology on $m(\kappa)$ is generated by a complete uniformity, namely the uniformity generated by the equivalence relation entourages $E_{f}$ where $(M,N)\in E_{f}$ iff $[f]_{N}=[f]_{M}.$ I do not know how this uniformity helps though.
Jan 5, 2016 at 16:44 history asked Miha Habič CC BY-SA 3.0