Definition:Invariant Set of a Map
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Definition
Let $f:X\to X$ be a map on an underlying space $X$.
Then a subset $Y\subset X$ is an invariant set of $f$ if $f(Y) = Y$.
Also see
Sources
- 1999: Clark Robinson: Dynamical Systems: Stability, Symbolic Dynamics, and Chaos ... (next): Chapter $\text {II}$ $\S 2.3$.