Home » Subject » Topology

Join of completary multifuncoids may be not completary

Importance: Medium ✭✭
Author(s): Porton, Victor
Subject: Topology
Keywords:
Recomm. for undergrads: no
Posted by: porton
on: September 17th, 2012
Conjecture   The formula $ f \sqcup^{\mathsf{\tmop{FCD}} \left( \mathfrak{A} \right)} g \in \mathsf{\tmop{cFCD}} \left( \mathfrak{A} \right) $ is not true in general for completary multifuncoids (even for multifuncoids on powersets) $ f $ and $ g $ of the same form $ \mathfrak{A} $.

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

Bibliography

*Victor Porton. Algebraic General Topology


* indicates original appearance(s) of problem.
add new comment