On the prolongation of restrictions of Baire 1 functions to functions which are quasicontinuous and approximately continuous

• Autorzy: Zbigniew Grande
• Języki publikacji: EN

Abstrakty

EN

Let I ⊂ ℝ be an open interval and let A ⊂ I be any set. Every Baire 1 function f: I → ℝ coincides on A with a function g: I → ℝ which is simultaneously approximately continuous and quasicontinuous if and only if the set A is nowhere dense and of Lebesgue measure zero.

Kategorie tematyczne

• 26A21: Classification of real functions; Baire classification of sets and functions
• 26A15: Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2009
• Tom: 114
• Numer: 2
• Strony: 237-243

Daty

wydano

2009

Twórcy

autor

Zbigniew Grande

• Institute of Mathematics, Kazimierz Wielki University, Plac Weyssenhoffa 11, 85-072 Bydgoszcz, Poland

Identyfikatory

DOI

10.4064/cm114-2-6