Filters on Posets – updated

I updated my preprint manuscript Filters on Posets and Generalizations. There are two changes: 1. Added new section “Distributivity of core part over lattice operations”. 2. Removed certain redundant theorem conditions: That a filtrator is with join-close core automatically follows from the fact it is semifiltered. I previously had theorem conditions which were specifying both […]

Filters on Posets and Generalizations rejected by Topology and its Applications

Some time ago I submitted my preprint of “Filters on Posets and Generalizations” article into “Topology and its Applications” journal. The manuscript was rejected by various reasons. Now I consider its submission to an other journal, maybe even into “Rejecta Mathematica” journal. If all it fails, I may attempt to publish it as a part […]

Two open problems solved in a new preprint

In revised preprint of “Filters on Posets and Generalizations” article (kindly received by the editor) submitted to “Topology and its Applications” journal are solved two problems which in an earlier preprint were marked as open problems: Strong and weak partitioning is the same was disproved by a counterexample (proof sketch by François G. Dorais). Filter-closed […]

Filters on Posets and Generalizations: Submitted to another math journal

I submitted to “Topology” math journal by email the manuscript Filters on Posets and Generalizations. In the email I asked them to confirm receipt of the email as soon as they receive it. Until now there were no response from “Topology” math journal. So I count them unresponsive and submitted the same work to an […]