Some conditions under which a uniform space is fine

Marconi, Umberto. "Some conditions under which a uniform space is fine." Commentationes Mathematicae Universitatis Carolinae 34.3 (1993): 543-547. <http://eudml.org/doc/247513>.

@article{Marconi1993,
abstract = {Let $X$ be a uniform space of uniform weight $\mu $. It is shown that if every open covering, of power at most $\mu $, is uniform, then $X$ is fine. Furthermore, an $\omega _\mu $-metric space is fine, provided that every finite open covering is uniform.},
author = {Marconi, Umberto},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {uniform space; uniform weight; fine uniformity; uniformly locally finite; $\omega _\mu $-additive space; $\omega _\mu $-metric space; fine uniformity; uniformly locally finite family; -additive space; uniform space; uniform weight; -metric space},
language = {eng},
number = {3},
pages = {543-547},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Some conditions under which a uniform space is fine},
url = {http://eudml.org/doc/247513},
volume = {34},
year = {1993},
}

TY - JOUR
AU - Marconi, Umberto
TI - Some conditions under which a uniform space is fine
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1993
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 34
IS - 3
SP - 543
EP - 547
AB - Let $X$ be a uniform space of uniform weight $\mu $. It is shown that if every open covering, of power at most $\mu $, is uniform, then $X$ is fine. Furthermore, an $\omega _\mu $-metric space is fine, provided that every finite open covering is uniform.
LA - eng
KW - uniform space; uniform weight; fine uniformity; uniformly locally finite; $\omega _\mu $-additive space; $\omega _\mu $-metric space; fine uniformity; uniformly locally finite family; -additive space; uniform space; uniform weight; -metric space
UR - http://eudml.org/doc/247513
ER -