A locallic version of Hager's metric-fine spaces is presented. A general definition of $\Cal A$-fineness is given and various special cases are considered, notably $\Cal A =$ all metric frames, $\Cal A =$ complete metric frames. Their interactions with each other, quotients, separability, completion and other topological properties are discussed.
@article{119038,
author = {Joanne L. Walters-Wayland},
title = {Metric-fine uniform frames},
journal = {Commentationes Mathematicae Universitatis Carolinae},
volume = {39},
year = {1998},
pages = {617-632},
zbl = {0962.54021},
mrnumber = {1666802},
language = {en},
url = {http://dml.mathdoc.fr/item/119038}
}
Walters-Wayland, Joanne L. Metric-fine uniform frames. Commentationes Mathematicae Universitatis Carolinae, Tome 39 (1998) pp. 617-632. http://gdmltest.u-ga.fr/item/119038/
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