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- W3142772016 abstract "We consider flows $(X,T)$, given by actions $(t, x) to tx$, on a compact metric space $X$ with a discrete $T$ as an acting group. We study a new class of flows - the textsc{Strongly Rigid} ($ mathbf {SR} $) flows, that are properly contained in the class of distal ($ mathbf D $) flows and properly contain the class of all equicontinuous ($ mathbf {EQ} $) flows. Thus, $mathbf {EQ} text{flows} subsetneqq mathbf {SR} text{flows} subsetneqq mathbf{ D} text{flows}$. 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." @default.
- W3142772016 created "2021-04-13" @default.
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- W3142772016 date "2021-03-28" @default.
- W3142772016 modified "2023-09-27" @default.
- W3142772016 title "Strongly Rigid Flows" @default.
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