In my Algebraic General Topology series was a flaw in the proof of the following theorem. So I re-labeled it as a conjecture. Conjecture A filter $latex \mathcal{A}$ is connected regarding a reloid $latex f$ iff it is connected regarding the funcoid…
read moreMy submission to Bulletin des Sciences Mathématiques math journal was rejected saying that my article is not in the scope of their journal. This is strange because their Web page says “the Bulletin publishes original articles covering all branches of pure mathematics”…
read moreI updated online article “Funcoids and Reloids”. The main feature of this update is new section about complete reloids and completion of reloids (with a bunch of new open problems). Also added some new theorems in the section “Completion of funcoids”.
read moreI updated my online article “Funcoids and Reloids”. Now it contains materials which previously were in separate articles: Partially ordered dagger categories; Generalized continuity, which generalizes continuity, proximity continuity, and uniform continuity.
read moreI 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…
read moreFirst, 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….
read moreI 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.
read moreConjecture $latex \mathrm{Cor}\bigcup^{\mathfrak{F}} S=\bigcup\langle \mathrm{Cor}\rangle S$ for any set $latex S$ of filter objects on a set. See this wiki site for definitions of used terms.
read more“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.
read moreI 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…
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