**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”