Articles by Author: Marek W Jtowicz

Search results for Marek W Jtowicz

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  1. For eagles only: probably the most difficult proof of the Arzelà-Ascoli theorem – via the Stone-Čech compactification

    For eagles only: probably the most difficult proof of the Arzelà-Ascoli theorem – via the Stone-Čech compactification

    Item type: Journal Article • Journal: Quaestiones Mathematicae
    Let C(K) denote the Banach space of all (real or complex) continuous functions on a compact Hausdorff space K.
  2. A note on a global invertibility of mappings on <em>R<sup>n</sup></em>

    A note on a global invertibility of mappings on <em>R<sup>n</sup></em>

    Item type: Journal Article • Journal: Quaestiones Mathematicae
    We provide sufficient conditions for a mapping f : Rn → Rn to be a global diffeomorphism in case f need not be continuously differentiable. Instead it is assumed to be strictly (Hadamard-like) and Fréchet differentiable. We use classical local...