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1994/1995 MAXIMAL ADDITIVE AND MAXIMAL MULTIPLICATIVE FAMILY FOR THE CLASS OF SIMPLY CONTINUOUS FUNCTIONS
Ján Borsík
Real Anal. Exchange 20(1): 204-211 (1994/1995). DOI: 10.2307/44152481

Abstract

A function f:X is simply continuous if for each open set V in , the set f1(V) is the union of open and a nowhere dense set in X. The maximal additive and maximal multiplicative family for the class of all simply continuous functions is investigated.

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Ján Borsík. "MAXIMAL ADDITIVE AND MAXIMAL MULTIPLICATIVE FAMILY FOR THE CLASS OF SIMPLY CONTINUOUS FUNCTIONS." Real Anal. Exchange 20 (1) 204 - 211, 1994/1995. https://doi.org/10.2307/44152481

Information

Published: 1994/1995
First available in Project Euclid: 30 March 2022

Digital Object Identifier: 10.2307/44152481

Subjects:
Primary: 54C08

Keywords: maximal additive family , maximal multiplicative family , Simply continuity

Rights: Copyright © 1994 Michigan State University Press

Vol.20 • No. 1 • 1994/1995
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