Year: 2011

Conjecture If $latex a\times^{\mathsf{RLD}} b\subseteq(\mathsf{RLD})_{\mathrm{in}} f$ then $latex a\times^{\mathsf{FCD}} b\subseteq f$ for every funcoid $latex f$ and atomic f.o. $latex a$ and $latex b$ on the source and destination of $latex f$ correspondingly. A stronger conjecture: Conjecture If $latex \mathcal{A}\times^{\mathsf{RLD}} \mathcal{B}\subseteq(\mathsf{RLD})_{\mathrm{in}} f$…

I’ve forgotten this conjecture when wrote Funcoids and Reloids article: Conjecture $latex (\mathsf{RLD})_{\mathrm{in}} (g\circ f) = (\mathsf{RLD})_{\mathrm{in}} g\circ(\mathsf{RLD})_{\mathrm{in}} f$ for every composable funcoids $latex f$ and $latex g$. Now this important conjecture is in its place in the article. I am going…

I first formulated the conjecture about upgrading a multifuncoid in this blog post. Now I’ve put online an article which is essentially the blog post with added proofs for the cases of n=0,1,2, converted into PDF format. (The conjecture is open for…

I updated Funcoids and Reloids article. Now it contains a section on oblique products. It now contains also the following conjectures: Conjecture $latex \mathcal{A} \times^{\mathsf{RLD}}_F \mathcal{B} \subset \mathcal{A} \ltimes \mathcal{B}$ for some f.o. $latex \mathcal{A}$, $latex \mathcal{B}$. Conjecture $latex \mathcal{A} \times^{\mathsf{RLD}}_F \mathcal{B}…