The topological entropy versus level sets for interval maps (part II)
The topological entropy versus level sets for interval maps (part II)
Let $f\colon\, [a,b]\to [a,b]$ be a continuous function of the compact real interval such that (i) $\mathop{\rm card} f^{-1}(y)\ge 2$ for every $y\in [a,b]$; (ii) for some $m\in\{\infty,2,3,\dots\}$ there is a countable set $L\subset [a,b]$ such that $\ma