Due my preprint of “Filters on Posets and Generalizations” article was rejected by “Topology and its Applications” journal, I submitted it into an another journal “Geometry & Topology”. Their server has said that I should receive email acknowledgment within a week.

read moreSome 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….

read moreIn 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…

read moreMy problem whether weak partitioning and strong partitioning of a complete lattice are the same was solved by counter-example by François G. Dorais. Remains open whether strong and weak partitioning of a filter object is the same.

read moreI have created a wiki intended to write (collaboratively) a math book about pointfree funcoids and reloids. It is a continuation of my research of Algebraic General Topology (the theory of funcoids and reloids), a generalized point-set topology. The discoverer of funcoids,…

read moreI updated the online draft of the article “Funcoids and Reloids”. The main feature of this update is that I qualified lattice theoretic operations and direct products of filters with indexes indicating that these are used over the sets of funcoids and…

read moreUpdated version of Funcoids and Reloids article contains two counter-examples which constitute solutions of two former open problems. It is proved that: There exist atomic reloids whose composition is non-atomic (and not empty). There exists an atomic reloid which is not monovalued.

read moreI updated the online draft of the article “Funcoids and Reloids” to match updated theory of filters (see also this wiki). The main feature of the new version is using filter objects instead of plain filters. Also in the new version of…

read moreI 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…

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