Home » Subject » Topology
Importance: High ✭✭✭
Author(s): Porton, Victor
Subject: Topology
Keywords: funcoid
function
multifuncoid
staroid
Recomm. for undergrads: no
Posted by: porton
on: December 24th, 2019
Problem   Let $ \mathcal{X} $ 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 $ \mathcal{X} $.

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

3. $ \bigcap_{F\in\operatorname{up}^{\mathrm{FCD}}\prod^{\mathrm{Strd}}\mathcal{X}}\langle f \rangle F $.


Bibliography

See Algebraic General Topology for definitions of used concepts.


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