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Monovalued reloid restricted to atomic filter (Solved)

Importance: Medium ✭✭
Author(s): Porton, Victor
Subject: Topology
Keywords: monovalued reloid
Recomm. for undergrads: no
Posted by: porton
on: February 5th, 2009
Solved by: Porton, Victor
Conjecture   A monovalued reloid restricted to an atomic filter is atomic or empty.

Weaker conjecture:

Conjecture   A (monovalued) function restricted to an atomic filter is atomic or empty.

See Algebraic General Topology for definitions of used concepts.

These conjectures are true what follows from the statement "Every monovalued reloid with atomic domain is atomic" proved in the last revision of Funcoids and Reloids online article.

Related problems

Monovalued reloid is a restricted function

Bibliography

*Victor Porton. Algebraic General Topology


* indicates original appearance(s) of problem.
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