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 is the same as chain closed was proved using transfinite induction (proof sketch by Joel David Hamkins).