Real Analysis Exchange
- Real Anal. Exchange
- Volume 23, Number 2 (1999), 459-470.
On the Almost Continuity of the Diagonal of Functions
In this paper we consider the following questions: Under what additional assumptions is the diagonal \(f\triangle g\) of almost continuous functions vanishing on the set of discontinuity points of an almost continuous function, too. Moreover, one can show that the facts considered (diagonals and ac-homotopies) can be applied to the characterization of continuity or the investigations of the algebraic operations on almost continuous functions.
Real Anal. Exchange, Volume 23, Number 2 (1999), 459-470.
First available in Project Euclid: 14 May 2012
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 26A15; 54C08
Doliwa, Dariusz; Pawlak, Ryszard Jerzy. On the Almost Continuity of the Diagonal of Functions. Real Anal. Exchange 23 (1999), no. 2, 459--470. https://projecteuclid.org/euclid.rae/1337001358