Geodesic
Minimal nonhomogeneous continua
Henk Bruin1 ; Sergiǐ Kolyada2 ; L'ubomír Snoha3
1Department of Mathematics University of Groningen P.O. Box 800 9700 AV Groningen, The Netherlands
2Institute of Mathematics Ukrainian Academy of Sciences Tereshchenkivs'ka 3 252601 Kiev, Ukraine
3Department of Mathematics Faculty of Natural Sciences Matej Bel University Tajovského 40 974 01 Banská Bystrica, Slovakia
Colloquium Mathematicum, Tome 95 (2003) no. 1, pp. 123-132
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/cm95-1-10
Keywords: there nonhomogeneous metric continua admit minimal noninvertible maps have fixed point property homeomorphisms nonhomogeneous metric continua admit minimal noninvertible maps minimal homeomorphisms former continua constructed quotient spaces torus subsets torus latter constructed subsets torus

Henk Bruin  1   ; Sergiǐ Kolyada  2   ; L'ubomír Snoha  3

1 Department of Mathematics University of Groningen P.O. Box 800 9700 AV Groningen, The Netherlands
2 Institute of Mathematics Ukrainian Academy of Sciences Tereshchenkivs'ka 3 252601 Kiev, Ukraine
3 Department of Mathematics Faculty of Natural Sciences Matej Bel University Tajovského 40 974 01 Banská Bystrica, Slovakia 
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Henk Bruin; Sergiǐ Kolyada; L'ubomír Snoha. Minimal nonhomogeneous continua. Colloquium Mathematicum, Tome 95 (2003) no. 1, pp. 123-132. doi: 10.4064/cm95-1-10

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