Simple Search

Query:

Enter a query and click »Search«...

Format:

Display: entries per page entries

Zbl 0755.26002
Natkaniec, Tomasz
Products of quasi-continuous functions. (English)
[J] Math. Slovaca 40, No.4, 401-405 (1990). ISSN 0139-9918; ISSN 1337-2211/e

The following theorem is proved: A cliquish function $h:R\to R$ is the product of $n$ quasi-continuous functions iff each of the sets $\{x:h(x)=0\}$, $\{x:h(x)<0\}$, $\{x:h(x)>0\}$ is the union of an open set and a nowhere dense set. Moreover, if $h$ is Lebesgue measurable (resp. of the Baire class $\alpha)$, then the factors can be taken to be Lebesgue measurable (resp. of the Baire class $\alpha)$.
[Z.Grande (Bydgoszcz)]

MSC 2000:: *26A15 Continuity and related questions (one real variable)
26A30 Real functions of one real variable with other special properties

Keywords: Lebesgue measurability; cliquish function; quasi-continuous functions; Baire class

Cited in: Zbl 0857.54011 Zbl 0789.54021

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Simple Search

Zentralblatt MATH Berlin [Germany]