I recently proved the following conjecture (now a theorem): Theorem $latex A\cap^{\mathfrak{F}}\bigcup{}^{\mathfrak{F}}S = \bigcup{}^{\mathfrak{F}} \{ A\cap^{\mathfrak{F}} X | X\in S \}$ for every set $latex A\in\mathscr{P}\mho$ and every $latex S\in\mathscr{P}\mathfrak{F}$ where $latex \mathfrak{F}$ is the set of filter objects on some set…
read moreI generalized a theorem in the preprint article “Filters on posets and generalizations” on my Algebraic General Topology site. The new theorem is formulated as following: Theorem If $latex (\mathfrak{A}; \mathfrak{Z})$ is a join-closed filtrator and $latex \mathfrak{A}$ is a meet-semilattice and…
read moreMy second submit to Documenta Mathematica journal of “Filters on Posets and Generalizations” preprint was unanswered in reasonable amount of time. As such I submitted it to an other journal, Moscow Mathematical Journal.
read moreI submitted the preprint of my article “Filters on Posets and Generalizations” to Documenta Mathematica math journal but so far received no reply. So I sent submission to an other editor of the same journal.
read moreI have said that there were several errors in my draft article “Connectedness of funcoids and reloids” at Algebraic General Topology site. I have corrected the errors, but now some of what were erroneous theorems downgraded to the status of conjecture.
read moreI sent my preprint of the article “Filters on Posets and Generalizations” to Bulletin des Sciences Mathématiques math journal but so far received no reply. So I sent it to an other journal, Documenta Mathematica.
read more[I found that my computations below are erroneous, namely $latex \mathrm{Cor} \langle f^{-1}\rangle \mathcal{F} \neq \langle \mathrm{CoCompl} f^{-1}\rangle \mathcal{F}$ in general (the equality holds when $latex \mathcal{F}$ is a set).]
read moreIn 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 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….
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