Set Theoretic Real Analysis

Krzysztof Ciesielski
Department of Mathematics, West Virginia University,
Morgantown, WV 26506-6310, USA
KCies@wvnvms.wvnet.edu

Version of January 28, 1997

Abstract:

This article is a survey of the recent results that concern real functions (from into ) 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 to this survey. Most of the results presented here are left without the proofs.

 
• Historical background
• New developments in classical problems
• New classic-like results
• Cardinal functions in analysis
• Some elements of topology
• Elements of measure theory
• References