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