top
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.
Bożena Świątek. "On topological properties of the spaces of Darboux Baire 1 functions and bounded derivatives." Colloquium Mathematicae 99.1 (2004): 41-50. <http://eudml.org/doc/285295>.
@article{BożenaŚwiątek2004, abstract = {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.}, author = {Bożena Świątek}, journal = {Colloquium Mathematicae}, keywords = {Darboux Baire 1 functions; -topology; superporosity; bounded derivatives}, language = {eng}, number = {1}, pages = {41-50}, title = {On topological properties of the spaces of Darboux Baire 1 functions and bounded derivatives}, url = {http://eudml.org/doc/285295}, volume = {99}, year = {2004}, }
TY - JOUR AU - Bożena Świątek TI - On topological properties of the spaces of Darboux Baire 1 functions and bounded derivatives JO - Colloquium Mathematicae PY - 2004 VL - 99 IS - 1 SP - 41 EP - 50 AB - 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. LA - eng KW - Darboux Baire 1 functions; -topology; superporosity; bounded derivatives UR - http://eudml.org/doc/285295 ER -