| Popis: |
We consider flows ( X , T ) , given by actions ( t , x ) → t x , on a compact metric space X with a discrete T as an acting group. We study a new class of flows - the Strongly Rigid (SR) flows, that are properly contained in the class of distal (D) flows and properly contain the class of all equicontinuous (EQ) flows. Thus, EQ flows ⫋ SR flows ⫋ D flows . The concepts of equicontinuity, strong rigidity and distality coincide for the induced flow ( 2 X , T ) . We observe that strongly rigid ( X , T ) gives distinct properties for the induced flow ( 2 X , T ) and its enveloping semigroup E ( 2 X ) . We further study strong rigidity in case of particular semiflows ( X , S ) , with S being a discrete acting semigroup. |
