(Quasi)-uniformities on the set of bounded maps

From real analysis it is known that if a sequence {fn,   n∈ℕ} of real-valued functions defined and bounded on X⊂ℝ converges uniformly to f, then f is also bounded and the sequence {fn,   n∈ℕ}. In the present paper we generalize results as the above using (quasi)-uniform structures....

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Bibliographic Details
Main Author: Basil K. Papadopoulos
Format: Article
Language:English
Published: Hindawi Limited 1994-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171294000980