Abstract
The main purpose of the paper is to extend Maximoff's theorem for real functions to the multivalued maps case.
Theorem (Maximoff [5]) Let $f : \mathbb{R}\to\mathbb{R}$ be a first Baire class function. Then $f$ has the Darboux property if and only if $f$ has a perfect road at each point.
Citation
Joanna Czarnowska. "Perfect roads for multivalued maps.." Real Anal. Exchange 31 (2) 365 - 371, 2005/2006.
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