January, 2017 | Math Research of Victor Porton

I made an error in a proof

I’ve proved the following (for every funcoids and ): Statement or equivalently: If then there exists , such that .

I’ve proved the following lemma: Lemma Let for every and there is a such that . Then for every and

After prayer in tongues and going down anointment of Holy Spirit I proved this conjecture about funcoids. The proof is

New conjecture: Conjecture for all funcoids , (with corresponding sources and destinations). Looks trivial? But how to (dis)prove it?

In this draft I present some definitions and conjectures on how to generalize filter bases for more general filtrators (such