Closures of Spaces of Functions with Finitely many Discontinuities


Throughout this paper, X will denote a completely regular Hausdorff space and E a Banach space. For f : X → E and U ⊆ X we write

                            diam f(U) = sup {||f(x)-f(y)|| : x, y ∈ U}.

Subject Discipline

Mathematical Sciences

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