On simple recognizing of bounded sets
Commentationes Mathematicae Universitatis Carolinae, Tome 38 (1997) no. 1, pp. 149-156.

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We characterize those uniform spaces and commutative topological groups the bounded subsets of which can be recognized by using only one uniformly continuous pseudometric.
Classification : 22A05, 54E15, 54E35, 54H11
Keywords: uniform space; commutative topological group; bounded set; B-conservative space; uniform partition
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Hejcman, Jan. On simple recognizing of bounded sets. Commentationes Mathematicae Universitatis Carolinae, Tome 38 (1997) no. 1, pp. 149-156. http://geodesic.mathdoc.fr/item/CMUC_1997__38_1_a12/