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

• Autorzy: Bożena Świątek
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 26A21: Classification of real functions; Baire classification of sets and functions
• 54C35: Function spaces
• 26A24: Differentiation (functions of one variable): general theory, generalized derivatives, mean-value theorems
• 54C30: Real-valued functions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2004
• Tom: 99
• Numer: 1
• Strony: 41-50

Daty

wydano

2004

Twórcy

autor

Bożena Świątek

• Institute of Mathematics, Łódź University of Technology, Al. Politechniki 11, 90-924 Łódź, Poland

Identyfikatory

DOI

10.4064/cm99-1-4