On topological properties of the spaces of Darboux Baire 1 functions and bounded derivatives

Bożena Świątek

Colloquium Mathematicae (2004)

  • Volume: 99, Issue: 1, page 41-50
  • ISSN: 0010-1354

Abstract

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.

How to cite

top

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 -

NotesEmbed ?

top

You must be logged in to post comments.