Let $latex U$ is a set. A filter (on $latex U$) $latex \mathcal{F}$ is by definition a non-empty set of subsets of $latex U$ such that $latex A,B\in\mathcal{F} \Leftrightarrow A\cap B\in\mathcal{F}$. Note that unlike some other authors I do not require $latex…

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There were much talking about writing math research articles collaboratively but no real action. I present probably the first real example of a research manuscript ready to be written collaboratively. I wrote the draft Filters on Posets and Generalizations which I present…

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