Eberly College of Arts and Sciences
We examine the existence of κ-to-1 functions f : R → R in the class of continuous functions, Darboux functions, functions with perfect roads, and functions with the Cantor intermediate value property. In this setting κ denotes a cardinal number (finite or infinite). We also consider different variations on this theme.
Digital Commons Citation
Ciesielski, Krzysztof, "κ-to-1 Darboux-Like Functions" (1998). Faculty & Staff Scholarship. 828.