Separating sets by Darboux-like functions

• Autorzy: Aleksander Maliszewski
• Języki publikacji: EN

Abstrakty

EN

We consider the following problem: Characterize the pairs ⟨A,B⟩ of subsets of ℝ which can be separated by a function from a given class, i.e., for which there exists a function f from that class such that f = 0 on A and f = 1 on B (the classical separation property) or f < 0 on A and f > 0 on B (a new separation property).

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: 2002
• Tom: 175
• Numer: 3
• Strony: 271-283

Daty

wydano

2002

Twórcy

autor

Aleksander Maliszewski

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

Identyfikatory

DOI

10.4064/fm175-3-4