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Direct product of reloids is a complete lattice homomorphism (Solved)

Importance: Low ✭
Author(s): Porton, Victor
Subject: Topology
Keywords: direct product of reloids
reloid
Recomm. for undergrads: no
Posted by: porton
on: May 26th, 2008
Solved by: Porton, Victor
Conjecture   If $ \mathcal{A} $ is a filter object then $ \mathcal{A}\times^{\mathsf{\tmop{RLD}}} $ is a complete homomorphism of the lattice of filter objects to a complete sublattice of the lattice of reloids, if also $ \mathcal{A}\neq\emptyset $ then it is an isomorphism.

See Algebraic General Topology for definitions of used concepts.

This conjecture is false. See example 14.5 (the number in the draft may change) in Algebraic General Topology book.

Bibliography

*Victor Porton. Algebraic General Topology


* indicates original appearance(s) of problem.
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