SMA rejected my paper due it is too long

“Surveys in Mathematics and its Applications” math journal rejected my paper Filters on Posets and Generalizations, submitted to them, due it is too long (60 pages). They want not above 30 pages.

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 […]

Strong vs weak partitioning – counterexample

My 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.

Pointfree Funcoids and Reloids – wiki for writing a math book

I 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, Victor Porton, does not consider this project “Pointfree Funcoids and Reloids” high priority. […]

“Funcoids and Reloids” update

I 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 reloids. That change should make the article easier to read. But (in a […]

Funcoids and Reloids – two conjectures solved

Updated 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.