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Quasi-uniform and uniform convergence of Riemann and Riemann-type integrable functions with values in a Banach space

Quasi-uniform and uniform convergence of Riemann and Riemann-type integrable functions with values in a Banach space

In this article, we study quasi-uniform and uniform convergence of nets and sequences of different types of functions defined on a topological space, in particular, on a closed bounded interval of R, with values in a metric space and in some cases in a Banach space. We show that boundedness …