Luigi Amedeo answered a question about *Mathematics* on Aardvark!

Question
Mar 16, 2010
Sent to Aardvark via IM
Friend 1
27 / M / Winnipeg, MB
Let f: A --> A be a function. Is there a standard name for the set of elements S in A that are mapped to themselves? Stable set? Invariant set? The context is I have a linear transformation (linear operator) T mapping a vector space V to itself. What is the set of elements in V called on which T behaves like the identity?
  • Answer 1
    + 21 minutes
    Aardvark found someone who knows about Mathematics

    71dni6hw_1273937352
    Luigi Amedeo B.
    24 / M / Parma, IT
    Knows about: Università DI Pisafantasy novelsuniversità di pisaUniversità di PisaUniversity of Pisa

    3 Qs & As in last few weeks

    Set of fixed points, perhaps. I frankly am not sure if there is a standard notation at all. A stable or invariant set is a set that is mapped into itself, but non necessarily each element is fixed.
    Friend 1
    27 / M / Winnipeg, MB
    Ya, I ended up using fixed points. I like the context you put the words "stable" and "invariant" in. Thanks!
    71dni6hw_1273937352
    Luigi Amedeo B.
    24 / M / Parma, IT
    Knows about: Università DI PisaUniversità di PisaUniversity of Pisafantasy novelsuniversità di pisa

    3 Qs & As in last few weeks

    You're welcome!

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