Outer reloid of direct product of filters (Solved)

Importance: Medium ✭✭
Author(s): Porton, Victor
Subject: Topology
Recomm. for undergrads: no
Posted by: porton
on: September 4th, 2010
Solved by: Porton, Victor
Question   $ ( \mathsf{\tmop{RLD}})_{\tmop{out}} ( \mathcal{A} \times^{\mathsf{\tmop{FCD}}} \mathcal{B}) = \mathcal{A} \times^{\mathsf{\tmop{RLD}}} \mathcal{B} $ for every f.o. $ \mathcal{A} $, $ \mathcal{B} $?

See Algebraic General Topology for definitions of used concepts.

A counter-example for this conjecture is present in Funcoids and Reloids article.

Bibliography

*Victor Porton. Algebraic General Topology


* indicates original appearance(s) of problem.