Another note on precompact uniform frames (Q1985658)
From MaRDI portal
| This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Another note on precompact uniform frames |
scientific article; zbMATH DE number 7187670
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Another note on precompact uniform frames |
scientific article; zbMATH DE number 7187670 |
Statements
Another note on precompact uniform frames (English)
0 references
7 April 2020
0 references
General filters in pointfree topology are studied in detail in [\textit{B. Banaschewski} and \textit{S. S. Hong}, Kyungpook Math. J. 42, No. 2, 273--283 (2002; Zbl 1029.06005)]. In the paper under review, the authors revisit this notion and define, as in the case of classical filters, what it means to say that a general filter clusters and what it means to say that it is maximal. They use these notions to characterize certain types of frames and uniform frames.
0 references
frame
0 references
general filter
0 references
general ultrafilter
0 references
convergence
0 references
clustering
0 references
Boolean frame
0 references
uniform frame
0 references
precompact
0 references
(weakly) Cauchy filter
0 references