Spaces of transitive interval maps

作者:Kolyada Sergii*; Misiurewicz Michal; Snoha L'ubomir
来源:Ergodic Theory and Dynamical Systems, 2015, 35(07): 2151-2170.
DOI:10.1017/etds.2014.18

摘要

On a compact real interval, the spaces of all transitive maps, all piecewise monotone transitive maps and all piecewise linear transitive maps are considered with the uniform metric. It is proved that they are contractible and uniformly locally arcwise connected. Then the spaces of all piecewise monotone transitive maps with given number of pieces as well as various unions of such spaces are considered and their connectedness properties are studied.

  • 出版日期2015-10