totally bounded sets; Cauchy sequences; convergence; mappings
Mappings preserving Cauchy sequences and certain types of convergences connected with these mappings are investigated.
 J. Borsík: Mappings that preserve Cauchy sequences
. Časopis pěst. mat. 113 (1988), 280-285. MR 0960764
 R. F. Snipes: Functions that preserve Cauchy sequences
. Nieuw Archief Voor Wiskunde 25 (1977), 409-422. MR 0487963
| Zbl 0376.54011