The Set of all Iterates is Nowhere Dense in C([ 0, 1 ], [ 0, 1 ])
From MaRDI portal
Publication:4015890
DOI10.2307/2154062zbMath0762.26002OpenAlexW4229517180MaRDI QIDQ4015890
Publication date: 7 December 1992
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/2154062
periodic pointnowhere dense setiterate of a mapcontinuous selfmappingsset of all iteratestopologically mixing maps
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (24)
Pointwise equicontinuity of Zadeh's extension of an interval map ⋮ Equicontinuity of maps on a dendrite with finite branch points ⋮ Some functional inequalities and their Baire category properties ⋮ The non-iterates are dense in the space of continuous self-maps ⋮ Iterative square roots of functions ⋮ On Zhang-Yang's open question about iterative roots of PM functions of height 1. I: Increasing case ⋮ A note on iterated maps of the unit sphere ⋮ Iterative roots of PM functions extended from the characteristic interval ⋮ Dynamics of iteration operators on self-maps of locally compact Hausdorff spaces ⋮ Chaotic behaviors of one dimensional wave equations with van der Pol nonlinear boundary conditions ⋮ Iterative roots of upper semicontinuous multifunctions ⋮ Iterative roots of piecewise monotonic functions of nonmonotonicity height not less than 2 ⋮ Dynamics of the iteration operator on the space of continuous self-maps ⋮ Iterative roots of non-PM functions and denseness ⋮ Also set-valued functions do not like iterative roots ⋮ Equicontinuity of a graph map ⋮ Iterative roots of piecewise monotonic functions with finite nonmonotonicity height ⋮ The structure of equicontinuous maps ⋮ Equicontinuity of dendrite maps ⋮ Recent results on iteration theory: iteration groups and semigroups in the real case ⋮ Bounded or unbounded solutions of a functional equation with nonautonomous iteration ⋮ Equicontinuous local dendrite maps ⋮ Extension of iterative roots ⋮ Scrambled sets and chain recurrence points of generic graph maps
This page was built for publication: The Set of all Iterates is Nowhere Dense in C([ 0, 1 ], [ 0, 1 ])