ON VARIOUS CHARACTERIZATIONS OF SUPERCOMPLETE MAPPINGS

ON VARIOUS CHARACTERIZATIONS OF SUPERCOMPLETE MAPPINGS

The supercomlete uniformly continuous mappings has been introduced and its some properties has been studied. The category characterization of the supercomplete uniformly continuous mappings has been found.

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  • [1] Borubayev, A. A., 1990, Uniform spaces and uniformly continuous mappings., Frunze: Ilim, 172 p.(in Russian).
  • [2] Borubayev, A. A., (2007), Category characterization of the compact, complete uniform spaces and complete in Raikov’s sense topological groups, Izvestia Akademii Nauk, Bishkek, 4, 3-7 (in Russian).
  • [3] Isbell, J. R., (1964), Uniform spaces., Providence.