The convergence of multi-index sequences of Baire functions
Hejduk, Jacek (2015-12-08T08:04:57Z)
Acta Universitatis Lodziensis. Folia Mathematica
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Hejduk, Jacek (2015-12-08T08:04:57Z)
Acta Universitatis Lodziensis. Folia Mathematica
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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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We investigate the topological structure of the space 𝓓ℬ₁ of bounded Darboux Baire 1 functions on [0,1] with the metric of uniform convergence and with the p*-topology. We also investigate some properties of the set Δ of bounded derivatives.
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