Oscillation for almost continuity |
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| Authors: | J Borsík |
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| Institution: | (1) Mathematical Institute, Slovak Academy of Sciences, Grešákova 6, 04001 Košice, Slovakia |
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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.
Supported by grant VEGA 2/6087/26 and APVT-51-006904. |
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| Keywords: | oscillation almost continuity β -continuity |
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