Partial order funcoids and reloids formalize such things as “infinitely small” step rotating a circle counter-clockwise. This is “locally” a partial order as every two nearby “small” sets (where we can define “small” for example as having the diameter (measuring along the…

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

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…

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