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1997/1998 \(\kappa\)-to-1 Darboux-Like Functions
Krzysztof Ciesielski
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Real Anal. Exchange 23(2): 671-688 (1997/1998).


We examine the existence of \(\kappa\)-to-1 functions \(f\colon\mathbb{R}\to\mathbb{R}\) in the class of continuous functions, Darboux functions, functions with perfect roads, and functions with the Cantor intermediate value property. In this setting \(\kappa\) denotes a cardinal number (finite or infinite). We also consider different variations on this theme.


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Krzysztof Ciesielski. "\(\kappa\)-to-1 Darboux-Like Functions." Real Anal. Exchange 23 (2) 671 - 688, 1997/1998.


Published: 1997/1998
First available in Project Euclid: 14 May 2012

zbMATH: 0943.26012
MathSciNet: MR1640008

Primary: 26A15

Keywords: {\(k\)-to-1 functions} , {Darboux functions} , {intermediate value property.} , {perfect road}

Rights: Copyright © 1999 Michigan State University Press

Vol.23 • No. 2 • 1997/1998
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