Funcoids and Reloids – completion
I updated the online article “Funcoids and Reloids”. The main feature of this update is introduction of the concepts completion and co-completion of funcoids and some related theorems. The question whether meet (on the lattice of funcoids) of two discrete funcoids is discrete solved positively.
Conjecture solved and submitted to a journal
First, I solved this conjecture and updated the preprint about filters adding new section “Fréchet filter” which contains the proof of the above mentioned conjecture. Second I submitted this preprint to Bulletin des Sciences Mathématiques math journal via email to the secretary. I have earlier submitted it to the journal editor V.I. Arnold but he […]
Filters – submitted to a journal
I submitted preprint of “Filters on Posets and Generalizations” article to Bulletin des Sciences Mathématiques math journal for peer review and publication. This version of preprint features adding this conjecture, compared to the previous version of this manuscript.
New conjecture about core parts of filters
Conjecture $latex \mathrm{Cor}\bigcup^{\mathfrak{F}} S=\bigcup\langle \mathrm{Cor}\rangle S$ for any set $latex S$ of filter objects on a set. See this wiki site for definitions of used terms.
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 – submission to Surveys in Mathematics and its Applications
My submission to “Geometry & Topology” journal was declined based on their judgment that my article is not on their topic (geometry & topology). As such, I submitted the same manuscript to an other journal “Surveys in Mathematics and its Applications”.
Filters on Posets and Generalizations submitted to “Geometry & Topology” journal
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.
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 […]