# Several ways to apply a (multivalued) multiargument function to a family of filters

 Importance: High ✭✭✭
 Author(s): Porton, Victor
 Subject: Topology
 Keywords: funcoid function multifuncoid staroid
 Posted by: porton on: December 24th, 2019
Problem   Let be an indexed family of filters on sets. Which of the below items are always pairwise equal?

1. The funcoid corresponding to this function (considered as a single argument function on indexed families) applied to the reloidal product of filters .

2. The funcoid corresponding to this function (considered as a single argument function on indexed families) applied to the starred reloidal product of filters .

3. .

## Bibliography

See Algebraic General Topology for definitions of used concepts.

* indicates original appearance(s) of problem.

### There was an error in the problem statement

I did an error in the problem statement (corrected). We need to consider the upgraded staroid, not just staroid.

-- Victor Porton - http://www.mathematics21.org

### The error was more severe

The first item of the problem was entirely wrong. I removed it.

-- Victor Porton - http://www.mathematics21.org