On the fixed points in an $\omega$-limit set

Ceder, Jack G.. "On the fixed points in an $\omega $-limit set." Mathematica Bohemica 117.4 (1992): 349-364. <http://eudml.org/doc/29219>.

@article{Ceder1992,
abstract = {Let $M$ and $K$ be closed subsets of [0,1] with $K$ a subset of the limit points of $M$. Necessary and sufficient conditions are found for the existence of a continuous function $f:[0,1]\rightarrow [0,1]$ such that $M$ is an $\omega $-limit set for $f$ and $K$ is the set of fixed points of $f$ in $M$.},
author = {Ceder, Jack G.},
journal = {Mathematica Bohemica},
keywords = {$\omega $-limit set; fixed points; -limit set; fixed points},
language = {eng},
number = {4},
pages = {349-364},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On the fixed points in an $\omega $-limit set},
url = {http://eudml.org/doc/29219},
volume = {117},
year = {1992},
}

TY - JOUR
AU - Ceder, Jack G.
TI - On the fixed points in an $\omega $-limit set
JO - Mathematica Bohemica
PY - 1992
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 117
IS - 4
SP - 349
EP - 364
AB - Let $M$ and $K$ be closed subsets of [0,1] with $K$ a subset of the limit points of $M$. Necessary and sufficient conditions are found for the existence of a continuous function $f:[0,1]\rightarrow [0,1]$ such that $M$ is an $\omega $-limit set for $f$ and $K$ is the set of fixed points of $f$ in $M$.
LA - eng
KW - $\omega $-limit set; fixed points; -limit set; fixed points
UR - http://eudml.org/doc/29219
ER -