On the insertion of Darboux functions

• Autorzy: Aleksander Maliszewski
• Języki publikacji: EN

Abstrakty

EN

The main goal of this paper is to characterize the family of all functions f which satisfy the following condition: whenever g is a Darboux function and f < g on ℝ there is a Darboux function h such that f < h < g on ℝ.

Słowa kluczowe

Darboux function; insertion of functions

Kategorie tematyczne

• 26A21: Classification of real functions; Baire classification of sets and functions
• 26A15: Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.)
• 54C30: Real-valued functions
• 54C08: Weak and generalized continuity

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 1998
• Tom: 156
• Numer: 3
• Strony: 197-209

Daty

wydano

1998

otrzymano

1996-04-23

Twórcy

autor

Aleksander Maliszewski

• Department of Mathematics, Pedagogical University, Pl. Weyssenhoffa 11, 85-072 Bydgoszcz, Poland

Bibliografia

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