I have just created a new wiki Web site, which is a virtual math conference, just like a real math meeting but running all the time (not say once per two years). https://conference.portonvictor.org Please spread the word that we have a new…
read moreI have checked for errors the entire text of my research monograph Algebraic General Topology. Volume 1 in which I generalize basic concepts of general topology using so called “funcoids” instead of topological spaces. Enjoy reading this prominent math research.
read moreToday I’ve took the bold decision to put my math research book online free (under Creative Commons license), with LaTeX source available for editing by anyone at a Git hosting. Because of conflict of licensing, it seems not that my book will…
read moreMy article was accepted for publication in European Journal of Pure and Applied Mathematics, but it didn’t compile with their LaTeX templates. After waiting a reasonable time until they would tackle the problem, I have withdrawn my article and sent it to…
read moreWhen my book was already sent to a publisher, I decided to rewrite it. Here is my rewriting plan (what I am going to change in the book).
read moreAfter checking for errors I added (as a new chapter) materials of the article Identity staroids into my research monograph. I plan to “dissolve” this chapter, that is distribute its materials among other chapters and liquidate this chapter itself.
read moreI’ve mostly finished writing the article Identity Staroids which considers $latex n$-ary identity staroids (with possibly infinite $latex n$), which generalize $latex n$-ary identity relations and some related topics. (In my theory there are two kinds of identity staroids: big and small…
read moreThe section “Filters on a Set” of the preprint of my math book is rewritten noting the fact that $latex \mathrm{Cor}\, \mathcal{A} = \uparrow^{\mathrm{Base} ( \mathcal{A})} \bigcap \mathcal{A}$.
read moreI have proved that there is a bijection from the set $latex \mathsf{FCD}(A;B)$ to a certain subset of $latex \mathsf{RLD}(A;B)$ (which I call funcoidal reloids). See section (currently numbered 8.4) “Funcoidal reloids” in the preprint of my book.
read moreIn the draft of my book there was an error. I’ve corrected it today. Wrong: $latex \forall a, b \in \mathfrak{A}: ( \mathrm{atoms}\, a \sqsubset \mathrm{atoms}\, b \Rightarrow a \subset b)$. Right: $latex \forall a, b \in \mathfrak{A}: ( a \sqsubset b…
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