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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm99-1-4,
author = {Bo\.zena \'Swi\k atek},
title = {On topological properties of the spaces of Darboux Baire 1 functions and bounded derivatives},
journal = {Colloquium Mathematicae},
volume = {100},
year = {2004},
pages = {41-50},
zbl = {1069.26005},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm99-1-4}
}
Bożena Świątek. On topological properties of the spaces of Darboux Baire 1 functions and bounded derivatives. Colloquium Mathematicae, Tome 100 (2004) pp. 41-50. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm99-1-4/