Conjecture For every funcoid $latex f$ and filter $latex \mathcal{X}\in\mathfrak{F}(\mathrm{Src}\,f)$, $latex \mathcal{Y}\in\mathfrak{F}(\mathrm{Dst}\,f)$:
- $latex \mathcal{X} \mathrel{[(\mathsf{FCD}) f]} \mathcal{Y}
\Leftrightarrow \forall F \in \mathrm{up}^{\Gamma (\mathrm{Src}\, f ; \mathrm{Dst}\,
f)} f : \mathcal{X} \mathrel{[F]} \mathcal{Y}$; - $latex \langle (\mathsf{FCD}) f \rangle \mathcal{X} = \bigsqcap_{F
\in \mathrm{up}^{\Gamma (\mathrm{Src}\, f ; \mathrm{Dst}\, f)} f} \langle F \rangle
\mathcal{X}$.
1 thought on “Funcoid corresponding to reloid through lattice Gamma”