Geodesic
On topological properties of the spaces of Darboux Baire 1 functions and bounded derivatives
Bożena Świątek1
1 Institute of Mathematics Łódź University of Technology Al. Politechniki 11 90-924 Łódź, Poland
Colloquium Mathematicum, Tome 99 (2004) no. 1, pp. 41-50 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We investigate the topological structure of the space ${\mathcal D}{\mathcal B}_{1}$ 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 ${\mit \Delta }$ of bounded derivatives.
DOI : 10.4064/cm99-1-4
Keywords: investigate topological structure space mathcal mathcal bounded darboux baire functions metric uniform convergence * topology investigate properties set mit delta bounded derivatives

Bożena Świątek 1

1 Institute of Mathematics Łódź University of Technology Al. Politechniki 11 90-924 Łódź, Poland 
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Bożena Świątek. On topological properties of the spaces of
 Darboux Baire 1 functions and bounded derivatives. Colloquium Mathematicum, Tome 99 (2004) no. 1, pp. 41-50. doi: 10.4064/cm99-1-4

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