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1998/1999 Darboux Like Functions. Old Problems and New Results
Richard G. Gibson, Tomasz Natkaniec
Real Anal. Exchange 24(2): 487-496 (1998/1999).


487-496: During the 14th Summer School on Real Functions Theory in Liptovsky Ján, Slovakia in 1996, Richard G. (Jerry) Gibson gave a talk concerning Darboux-like functions. Following his talk we wrote the survey article Darboux-like functions, that was published in the Real Analysis Exchange. In that paper we collected not only known facts on the subject but also presented some open problems. In the last two years a considerable number of papers have been written that solve some of the open questions posed in our survey article. In this short abstract we would like to present those solutions and to list the problems that remain open. This paper is based on the talk given by Tomasz (Tomek) Natkaniec at the 15th Summer School on Real Functions Theory in Liptovsky Ján, Slovakia, in 1998. Most of the new results are contained as a part of the Polish-American project it Set Theoretic Analysis and has been described in K. Ciesielski's survey Set Theoretic Real Analysis. You can find these results on the Set Theoretic Analysis web page:


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Richard G. Gibson. Tomasz Natkaniec. "Darboux Like Functions. Old Problems and New Results." Real Anal. Exchange 24 (2) 487 - 496, 1998/1999.


Published: 1998/1999
First available in Project Euclid: 28 September 2010

zbMATH: 0969.26003
MathSciNet: MR1704729

Primary: 26A15

Keywords: almost continuous functions , CIVP-functions , connectivity functions , Darboux functions , extendable functions , functions with perfect road , peripherally continuous functions , quasi-continuous functions , SCIVP-functions

Rights: Copyright © 1999 Michigan State University Press

Vol.24 • No. 2 • 1998/1999
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