Open Access
1998/1999 Compositions of Darboux and Connectivity Functions
Krzysztof Ciesielski, Kenneth R. Kellum
Real Anal. Exchange 24(2): 599-606 (1998/1999).


We describe here an example of a Darboux function $k$ from the unit interval $\mathcal{I}=[0,1]$ onto itself such that $k$ is not the composition of any finite collection of connectivity functions from $\mathcal{I}$ into $\mathcal{I}$. This answers a question of Ceder [2].


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Krzysztof Ciesielski. Kenneth R. Kellum. "Compositions of Darboux and Connectivity Functions." Real Anal. Exchange 24 (2) 599 - 606, 1998/1999.


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

zbMATH: 0970.26002
MathSciNet: MR1704736

Primary: 26A15

Keywords: composition , Connectivity function , Darboux function

Rights: Copyright © 1999 Michigan State University Press

Vol.24 • No. 2 • 1998/1999
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