Displaying similar documents to “On a subclass of the family of Darboux functions”

Composition of functions.

Muthuvel, Kandasamy (2000)

International Journal of Mathematics and Mathematical Sciences

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Separating sets by Darboux-like functions

Aleksander Maliszewski (2002)

Fundamenta Mathematicae

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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).

Darboux type properties of the paratingent

Małgorzata Fedor, Joanna Szyszkowska (2008)

Annales UMCS, Mathematica

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In this paper we consider the Darboux type properties for the paratingent. We review some of the standard facts on the multivalued functions and the paratingent. We prove that the paratingent has always the Darboux property but the property D* holds only when the paratingent is a multivalued function.