(Quasi)-uniformities on the set of bounded maps

Basil K. Papadopoulos

International Journal of Mathematics and Mathematical Sciences, 1994, vol. 17, 1-4

Abstract:

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

Date: 1994
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:953073

DOI: 10.1155/S0161171294000980

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