Wyniki wyszukiwania - BazTech

Ograniczanie wyników

3 Journal of Applied Analysis

Znaleziono wyników: 3

Liczba wyników na stronie

Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: Sierpiński-Zygmunt functions

Sortuj według:

Ogranicz wyniki do:

On measurable Sierpiński-Zygmund functions

Kharazishvili A. B.

Journal of Applied Analysis

2006

Vol. 12, nr 2

283-292

It is proved that there exists a Sierpiński-Zygmund function, which is measurable with respect to a certain invariant extension of the Lebesgue measure on the real line R.

Compositions of Sierpiński-Zygmund functions from the left

Jordan F.

Journal of Applied Analysis

2001

Vol. 7, nr 1

81-89

A cardinal related to compositions of Sierpiński-Zygmund functions from the left, Cleft(SZ), will be considered. We answer a question of K. Ciesielski and T. Natkaniec. In particular, we show that cl(SZ) = (2c)+ if R is not a union of less than c-many meager sets and c is a limit cardinal. If c = ◛, then cl(SZ) is equal to the bounding number of c.

Compositions of Sierpiński-Zygmund functions and related combinatorial cardinals

Jordan F.

Journal of Applied Analysis

2001

Vol. 7, nr 2

243-255

A cardinal related to compositions of Sierpiński-Zygmund functions will be considered. A combinatorial characterization of the cardinal is given and is used to answer some questions of K. Ciesielski and T. Natkaniec. It is shown that the bounding number of the continuum may be strictly smaller than continuum.