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Journal of Applied Analysis

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

Managing Editor: Gajek, Leslaw


SCImago Journal Rank (SJR) 2015: 0.139
Source Normalized Impact per Paper (SNIP) 2015: 0.314
Impact per Publication (IPP) 2015: 0.170

Mathematical Citation Quotient (MCQ) 2015: 0.13

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1869-6082
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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

Received:
1997-02-25
Revised:
1997-09-08
Published Online:
2010-06-04

Abstract

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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Jolanta Kosman
Lithuanian Mathematical Journal, 2014, Volume 54, Number 4, Page 447
[2]
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[3]
Zbigniew Grande
Lithuanian Mathematical Journal, 2013, Volume 53, Number 4, Page 406
[4]
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Topology and its Applications, 2009, Volume 156, Number 13, Page 2196
[5]
Alessandro Fedeli and Attilio Le Donne
Topology and its Applications, 2005, Volume 148, Number 1-3, Page 33
[6]
A.B. Kharazishvili
Expositiones Mathematicae, 2011, Volume 29, Number 1, Page 150
[8]
Andrzej Rosłanowski and Saharon Shelah
Israel Journal of Mathematics, 2006, Volume 151, Number 1, Page 61

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