# Wydawnictwa / Czasopisma IMPAN / Colloquium Mathematicum / Wszystkie zeszyty

## Minimal nonhomogeneous continua

### Tom 95 / 2003

Colloquium Mathematicum 95 (2003), 123-132 MSC: Primary 37B05, 54H20; Secondary 54H25. DOI: 10.4064/cm95-1-10

#### Streszczenie

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.

#### Autorzy

• Henk BruinDepartment of Mathematics
University of Groningen
P.O. Box 800
9700 AV Groningen, The Netherlands
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Tereshchenkivs'ka 3
252601 Kiev, Ukraine
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