On simple recognizing of bounded sets
Hejcman, Jan
Commentationes Mathematicae Universitatis Carolinae, Tome 38 (1997), p. 149-156 / Harvested from Czech Digital Mathematics Library

We characterize those uniform spaces and commutative topological groups the bounded subsets of which can be recognized by using only one uniformly continuous pseudometric.

Publié le : 1997-01-01
Classification:  22A05,  54E15,  54E35,  54H11
@article{118910,
     author = {Jan Hejcman},
     title = {On simple recognizing of bounded sets},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {38},
     year = {1997},
     pages = {149-156},
     zbl = {0886.54025},
     mrnumber = {1455478},
     language = {en},
     url = {http://dml.mathdoc.fr/item/118910}
}
Hejcman, Jan. On simple recognizing of bounded sets. Commentationes Mathematicae Universitatis Carolinae, Tome 38 (1997) pp. 149-156. http://gdmltest.u-ga.fr/item/118910/

Atkin C.J. Boundedness in uniform spaces, topological groups, and homogeneous spaces, Acta Math. Hung. 57 (1991), 213-232. (1991) | MR 1139315 | Zbl 0753.54010

Hejcman J. Boundedness in uniform spaces and topological groups, Czechoslovak Math. Journal 9 (84) (1959), 544-563. (1959) | MR 0141075 | Zbl 0132.18202

Hejcman J. On conservative uniform spaces, Comment. Math. Univ. Carolinae 7 (1966), 411-417. (1966) | MR 0202107 | Zbl 0141.20504

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. | MR 0588808 | Zbl 0443.46051

Kelley J.L. General Topology, Van Nostrand, New York, 1955. | MR 0070144 | Zbl 0518.54001