Submitted by math_admin on Thu, 02/27/2020 - 16:05
preprint-id:
preprint-title:
The Set of Maps $F_{a,b}:x \mapsto x+ a+{b\over 2\pi} \sin(2\pi x)$ with any Given Rotation Interval is Contractible.
preprint-abstract:
Consider the two-parameter family of real analytic maps $F_{a,b}:x \mapsto x+ a+{b\over 2\pi} \sin(2\pi x)$ which are lifts of degree one endomorphisms of the circle. The purpose of this paper is to provide a proof that for any closed interval $I$, the set of maps $F_{a,b}$ whose rotation interval is $I$, form a contractible set.
preprint-year:
1994