Unions of F-spaces
Klaas Pieter Hart, Leon Luo, Jan van Mill
TL;DR
This paper proves that the union of a small family of special P-sets that are F-spaces is itself an F-space, highlighting the conditions under which this property holds.
Contribution
It establishes that unions of certain small families of F-spaces are F-spaces, extending understanding of their structural properties.
Findings
Union of small family of F-spaces is an F-space
Results are sharp, with comments on limitations
Provides conditions for F-space preservation under unions
Abstract
We show that every space that is the union of a `small' family consisting of special P-sets that are F-spaces, is an F-space. We also comment on the sharpness of our results.
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Taxonomy
TopicsFuzzy and Soft Set Theory