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December 1, 2010 porton

Counter-examples against two conjectures

I added counter-examples to the following two conjectures to my online article “Funcoids and Reloids”:

Conjecture $(\mathsf{RLD})_{\mathrm{out}}(\mathcal{A}\times^{\mathsf{FCD}}\mathcal{B})=\mathcal{A}\times^{\mathsf{RLD}}\mathcal{B}$ for every filter objects $\mathcal{A}$ and $\mathcal{B}$ .

Conjecture $(\mathsf{RLD})_{\mathrm{out}}(\mathsf{FCD})f=f$ for every reloid $f$ .

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