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Journal of Applied Analysis

Editor-in-Chief: Liczberski, Piotr / Ciesielski, Krzysztof

Managing Editor: Gajek, Leslaw

SCImago Journal Rank (SJR) 2014: 0.156
Source Normalized Impact per Paper (SNIP) 2014: 0.465
Impact per Publication (IPP) 2014: 0.212

Mathematical Citation Quotient (MCQ) 2014: 0.11


Set Theoretic Real Analysis

K. Ciesielski1

1Department of Mathematics, West Virginia University, Morgantown, WV 26506-6310 USA.

Citation Information: Journal of Applied Analysis. Volume 3, Issue 2, Pages 143–190, ISSN (Online) 1869-6082, ISSN (Print) 1425-6908, DOI: 10.1515/JAA.1997.143, June 2010

Publication History

Published Online:


This article is a survey of the recent results that concern real functions (from into ℝ) and whose solutions or statements involve the use of set theory. The choice of the topics follows the author's personal interest in the subject, and there are probably some important results in this area that did not make it to this survey. Most of the results presented here are left without proofs.

Key words and phrases.: Fubini theorem; continuous images; continuous restrictions; Continuum Hypothesis; Martin's Axiom; Blumberg Theorem; symmetric continuity; Peano curve; Darboux functions; cardinal functions; addition of functions; derivatives; extensions of measure

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