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Oscillation for almost continuity

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Abstract

Let X be a topological space and (Y,d) be a metric space. If f: X → Y is a function then there is a function a f : X → [0, ∞] such that f is almost continuous at x if and only if a f (x) = 0. Some properties of this function are investigated.

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Authors and Affiliations

  1. Mathematical Institute, Slovak Academy of Sciences, Grešákova 6, 04001, Košice, Slovakia

    J. Borsík

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  1. J. Borsík
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Supported by grant VEGA 2/6087/26 and APVT-51-006904.

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Borsík, J. Oscillation for almost continuity. Acta Math Hung 115, 319–332 (2007). https://doi.org/10.1007/s10474-007-5262-z

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  • DOI: https://doi.org/10.1007/s10474-007-5262-z

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