Join of oblique products (Solved)

Importance: Medium ✭✭
Author(s): Porton, Victor
Subject: Topology
Recomm. for undergrads: no
Posted by: porton
on: August 9th, 2011
Solved by: Porton, Victor with help of Blass, Andreas
Conjecture   $ \left( \mathcal{A} \ltimes \mathcal{B} \right) \cup \left( \mathcal{A}   \rtimes \mathcal{B} \right) = \mathcal{A}   \times^{\mathsf{\ensuremath{\operatorname{RLD}}}} \mathcal{B} $ for every filter objects $ \mathcal{A} $, $ \mathcal{B} $.

See Algebraic General Topology for definitions of used concepts.

I proved it false based on a solution of an equivalent elementary problem by Andreas Blass.


*Victor Porton. Algebraic General Topology

* indicates original appearance(s) of problem.