Values of a multifuncoid on atoms (Solved)

Importance: Medium ✭✭
Author(s): Porton, Victor
Subject: Topology
Recomm. for undergrads: no
Posted by: porton
on: September 17th, 2012
Solved by: Porton, Victor
Conjecture   $ L \in \mathrel{\left[ f \right]} \Rightarrow \mathrel{\left[ f \right]} \cap \prod_{i \in \operatorname{dom} \mathfrak{A}} \operatorname{atoms} L_i \neq \emptyset $ for every multifuncoid $ f $ of the form whose elements are atomic posets.

See Algebraic General Topology, especially the theory of multifuncoids for definitions of used concepts.

See this my online article and in this MathOverflow answer for a counter-example.


*Victor Porton. Algebraic General Topology

* indicates original appearance(s) of problem.

Counter-example found

Earlier I claimed that the conjecture is proved. There was an error in my proof. Now I propose a counter-example.

Victor Porton -

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