On the sums and the products of Darboux cliquish functions
type: Item
instance of: scholarly article
title: On the sums and the products of Darboux cliquish functions
zbMATH Open document ID: 0927.26002
DOI: 10.1007/BF00058945
published in: Acta Mathematica Hungarica
publication date: 1999-09-14T00:00:00Z
review text: The notion of cliquishness, introduced by \textit{H. P. Thielman} [Am. Math. Mon. 60, 156-161 (1953; Zbl 0051.13801)], and its connection with the properties of the Darboux and the Baire class are investigated. The author characterizes the functions which can be written as the sum or the product of Darboux cliquish functions. Maximal additive and maximal multiplicative classes of the family of all Darboux cliquish functions are also determined.
Mathematics Subject Classification ID: 26A15
Mathematics Subject Classification ID: 26A21
zbMATH DE Number: 1336375
zbMATH Keywords: Darboux cliquish function
zbMATH Keywords: Baire class one
zbMATH Keywords: honorary Baire class two
author: Aleksander Maliszewski
reviewed by: Jiancheng Zou
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00058945
OpenAlex ID: W2036798311
description: scientific article; zbMATH DE number 1336375