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arxiv: 1305.3227 · v2 · pith:TL35Q37Hnew · submitted 2013-05-11 · 🧮 math.GM

A study on ideal ward continuity

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keywords idealwardcontinuitycontinuouscharacterizationcompacteitherfunction
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In this paper, we prove that any ideal ward continuous function is uniformly continuous either on an interval or on an ideal ward compact subset of $\textbf{R}$. A characterization of uniform continuity is also given via ideal quasi-Cauchy sequences.

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