Some properties of subsets of R^k with the Baire property
Hejduk, Jacek (2015-11-10T11:42:31Z)
Acta Universitatis Lodziensis. Folia Mathematica
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Displaying similar documents to “Ranks for baire multifunctions”
Some properties of subsets of R^k with the Baire property
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CONTENTSIntroduction............................................................................................................ 5I. Basic properties of Baire spaces................................................................... 61. Nowhere dense sets............................................................................................... 62. First and second category sets............................................................................. 83. Baire spaces................................................................................................................
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Let I ⊂ ℝ be an open interval and let A ⊂ I be any set. Every Baire 1 function f: I → ℝ coincides on A with a function g: I → ℝ which is simultaneously approximately continuous and quasicontinuous if and only if the set A is nowhere dense and of Lebesgue measure zero.