Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: Darboux function

Sortuj według:

Ogranicz wyniki do:

On the insertion of Darboux functions

100%

Maliszewski A.

Fundamenta Mathematicae

1998

tom 156

nr 3

197-209

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.

Connectivity of diagonal products of Baire one functions

61%

Maliszewski A.

Fundamenta Mathematicae

1994-1995

tom 146

nr 1

21-29

We characterize those Baire one functions f for which the diagonal product x → (f(x), g(x)) has a connected graph whenever g is approximately continuous or is a derivative.

On some properties of Hamel bases and their applications to Marczewski measurable functions

41%

Dorais F., Filipów R., Natkaniec T.

Open Mathematics

2013

tom 11

nr 3

487-508

We introduce new properties of Hamel bases. We show that it is consistent with ZFC that such Hamel bases exist. Under the assumption that there exists a Hamel basis with one of these properties we construct a discontinuous and additive function that is Marczewski measurable. Moreover, we show that such a function can additionally have the intermediate value property (and even be an extendable function). Finally, we examine sums and limits of such functions.

Ograniczanie wyników

2 Fundamenta Mathematicae

1 Open Mathematics

2 Maliszewski A.

1 Dorais F.

1 Filipów R.

1 Natkaniec T.

1 2013

1 1998

1 1994

Wyniki wyszukiwania

On the insertion of Darboux functions

Connectivity of diagonal products of Baire one functions

On some properties of Hamel bases and their applications to Marczewski measurable functions