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