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1993/1994 SOME CONSEQUENCES OF THE FREILING – HUMKE RESULT ON THE DENSITY PROPERTY
Richard J. O’Malley
Real Anal. Exchange 19(1): 242-247 (1993/1994). DOI: 10.2307/44153833

Abstract

Recently, Freiling and Humke answered a question of the present author concerning the density property of certain sets. In this paper we examine how their work affects two different but related theorems. The first theorem concerns the monotonicity of approximately semicontinuous functions and the second, the existence of approximate maxima of approximately continuous functions.

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Richard J. O’Malley. "SOME CONSEQUENCES OF THE FREILING – HUMKE RESULT ON THE DENSITY PROPERTY." Real Anal. Exchange 19 (1) 242 - 247, 1993/1994. https://doi.org/10.2307/44153833

Information

Published: 1993/1994
First available in Project Euclid: 30 March 2022

Digital Object Identifier: 10.2307/44153833

Subjects:
Primary: 26A21

Keywords: approximate continuity , Baire class 1 , metric density , semicontinuity

Rights: Copyright © 1993 Michigan State University Press

Vol.19 • No. 1 • 1993/1994
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