I asked on MathOverflow several questions about ordering of filters and ultrafilters. Your participation in this research is welcome.

read moreFilters on Posets and Generalizations online article updated as an accomplishment of this plan. This is important primarily to extend the category of pointfree funcoids with objects being arbitrary posets (even without least element). That way this category would become more “complete”….

read moreFrom the preprint of my article “Filters on Posets and Generalizations” (with little rewording): Definition 1. Let $latex \mathfrak{A}$ is a poset with least element $latex 0$. I will call elements $latex a$, $latex b$ in $latex \mathfrak{A}$ intersecting when exists c…

read moreI think funcoids are more important for mathematics than topological spaces. Why I think so? Because funcoids have “smoother” (more beautiful) properties than topological spaces. Funcoids were discovered by me. Does the author mean that his discovery of funcoids was more important…

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