**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.

## Bibliography

*Victor Porton. Algebraic General Topology

* indicates original appearance(s) of problem.