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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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