Compositions of Darboux and connectivity functions

by

Krzysztof Ciesielski, Kenneth R. Kellum

Real Anal. Exchange 24(2) (1998-99), 599-605.

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


LaTeX 2e source file.

File includes picture in postscript form: k.eps.

Requires rae.cls file graphicx.sty, amsmath.sty, and amssymb.sty

Last modified August 25, 1999.