Minimal nonhomogeneous continua

Henk Bruin, Sergiǐ Kolyada, and L'ubomír Snoha. "Minimal nonhomogeneous continua." Colloquium Mathematicae 95.1 (2003): 123-132. <http://eudml.org/doc/284719>.

@article{HenkBruin2003,
abstract = {We show that there are (1) nonhomogeneous metric continua that admit minimal noninvertible maps but have the fixed point property for homeomorphisms, and (2) nonhomogeneous metric continua that admit both minimal noninvertible maps and minimal homeomorphisms. The former continua are constructed as quotient spaces of the torus or as subsets of the torus, the latter are constructed as subsets of the torus.},
author = {Henk Bruin, Sergiǐ Kolyada, L'ubomír Snoha},
journal = {Colloquium Mathematicae},
keywords = {minimal dynamical system; minimal space; Moore theorem; fixed-point property; nonhomogeneous space; Sierpiński curve.},
language = {eng},
number = {1},
pages = {123-132},
title = {Minimal nonhomogeneous continua},
url = {http://eudml.org/doc/284719},
volume = {95},
year = {2003},
}

TY - JOUR
AU - Henk Bruin
AU - Sergiǐ Kolyada
AU - L'ubomír Snoha
TI - Minimal nonhomogeneous continua
JO - Colloquium Mathematicae
PY - 2003
VL - 95
IS - 1
SP - 123
EP - 132
AB - We show that there are (1) nonhomogeneous metric continua that admit minimal noninvertible maps but have the fixed point property for homeomorphisms, and (2) nonhomogeneous metric continua that admit both minimal noninvertible maps and minimal homeomorphisms. The former continua are constructed as quotient spaces of the torus or as subsets of the torus, the latter are constructed as subsets of the torus.
LA - eng
KW - minimal dynamical system; minimal space; Moore theorem; fixed-point property; nonhomogeneous space; Sierpiński curve.
UR - http://eudml.org/doc/284719
ER -