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Math Help - alpha stable

  1. #1
    Senior Member Sampras's Avatar
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    alpha stable

    Suppose  \alpha: X \times X \to X . A subset  A \subseteq X is called  \alpha -stable if and only if  x,y \in A \Rightarrow \alpha(x,y) \in A .

    What is the point of considering  \psi_{\alpha}(\psi_{\alpha}(A)) = \psi_{\alpha}(A) ? Is there any significance?
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  2. #2
    Moo
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    Hello,

    What is \psi_\alpha ?
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