K-to-1 Darboux-like functions


Krzysztof Ciesielski, Richard G. Gibson, Tomasz Natkaniec

Real Anal. Exchange 23 (1997-98), 671-687.

We examine the existence of K-to-1 functions f:R-->R in the class of continuous functions, Darboux functions, functions with perfect road, and functions with Cantor intermediate value properties. In this setting K stands for a cardinal number (finite or infinite). We also consider different variations on this theme.

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Last modified September 10, 1998.