On simple recognizing of bounded sets
Commentationes Mathematicae Universitatis Carolinae (1997)
- Volume: 38, Issue: 1, page 149-156
- ISSN: 0010-2628
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topHejcman, Jan. "On simple recognizing of bounded sets." Commentationes Mathematicae Universitatis Carolinae 38.1 (1997): 149-156. <http://eudml.org/doc/248072>.
@article{Hejcman1997,
abstract = {We characterize those uniform spaces and commutative topological groups the bounded subsets of which can be recognized by using only one uniformly continuous pseudometric.},
author = {Hejcman, Jan},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {uniform space; commutative topological group; bounded set; B-conservative space; uniform partition; uniform space; commutative topological group; bounded set; -simple space; -conservative space; uniform partition},
language = {eng},
number = {1},
pages = {149-156},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On simple recognizing of bounded sets},
url = {http://eudml.org/doc/248072},
volume = {38},
year = {1997},
}
TY - JOUR
AU - Hejcman, Jan
TI - On simple recognizing of bounded sets
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1997
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 38
IS - 1
SP - 149
EP - 156
AB - We characterize those uniform spaces and commutative topological groups the bounded subsets of which can be recognized by using only one uniformly continuous pseudometric.
LA - eng
KW - uniform space; commutative topological group; bounded set; B-conservative space; uniform partition; uniform space; commutative topological group; bounded set; -simple space; -conservative space; uniform partition
UR - http://eudml.org/doc/248072
ER -
References
top- Atkin C.J., Boundedness in uniform spaces, topological groups, and homogeneous spaces, Acta Math. Hung. 57 (1991), 213-232. (1991) Zbl0753.54010MR1139315
- Hejcman J., Boundedness in uniform spaces and topological groups, Czechoslovak Math. Journal 9 (84) (1959), 544-563. (1959) Zbl0132.18202MR0141075
- Hejcman J., On conservative uniform spaces, Comment. Math. Univ. Carolinae 7 (1966), 411-417. (1966) Zbl0141.20504MR0202107
- Hejcman J., Boundedness and weak boundedness in topological vector groups, Topics in Topology (Proc. Coll. Budapest, 1978), pp. 591-605, Colloq. Math. Soc. János Bolyai, vol. 23, North-Holland, Amsterdam, 1980. Zbl0443.46051MR0588808
- Kelley J.L., General Topology, Van Nostrand, New York, 1955. Zbl0518.54001MR0070144
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