Homeomorphisms of composants of Knaster continua

Sonja Štimac. "Homeomorphisms of composants of Knaster continua." Fundamenta Mathematicae 171.3 (2002): 267-278. <http://eudml.org/doc/282739>.

@article{SonjaŠtimac2002,
abstract = {The Knaster continuum $K_p$ is defined as the inverse limit of the pth degree tent map. On every composant of the Knaster continuum we introduce an order and we consider some special points of the composant. These are used to describe the structure of the composants. We then prove that, for any integer p ≥ 2, all composants of $K_p$ having no endpoints are homeomorphic. This generalizes Bandt’s result which concerns the case p = 2.},
author = {Sonja Štimac},
journal = {Fundamenta Mathematicae},
keywords = {Knaster continuum; composant; tent map},
language = {eng},
number = {3},
pages = {267-278},
title = {Homeomorphisms of composants of Knaster continua},
url = {http://eudml.org/doc/282739},
volume = {171},
year = {2002},
}

TY - JOUR
AU - Sonja Štimac
TI - Homeomorphisms of composants of Knaster continua
JO - Fundamenta Mathematicae
PY - 2002
VL - 171
IS - 3
SP - 267
EP - 278
AB - The Knaster continuum $K_p$ is defined as the inverse limit of the pth degree tent map. On every composant of the Knaster continuum we introduce an order and we consider some special points of the composant. These are used to describe the structure of the composants. We then prove that, for any integer p ≥ 2, all composants of $K_p$ having no endpoints are homeomorphic. This generalizes Bandt’s result which concerns the case p = 2.
LA - eng
KW - Knaster continuum; composant; tent map
UR - http://eudml.org/doc/282739
ER -