Almost uniform convergence
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The almost uniform convergence is between uniform and quasi-uniform one. We give some necessary and sufficient conditions under which the almost uniform convergence coincides on compact sets with uniform, quasi-uniform or uniform convergence, respectively. In the second section continuity of almost uniform limits is considered. Finally we characterize the set of all points at which a net of functions is almost uniformly convergent to a given function.
Mathematics subject classification numbers, 1991Primary 54A20 Key words and phrases Uniform convergence quasi-uniform convergence almost uniform convergence
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