# Strict inequalities for products of filters

**Conjecture**for some filter objects , . Particularly, is this formula true for ?

A weaker conjecture:

**Conjecture**for some filter objects , .

See Algebraic General Topology for definitions of used concepts.

The first conjecture probably has no use by itself but proving it may be somehow challenging, just like Fermat Last Theorem.

## Bibliography

*Victor Porton. Algebraic General Topology

* indicates original appearance(s) of problem.