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Math Help - Relations

  1. #1
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    Relations

    Let R be a relation on A and  f: A \rightarrow A be a function. We say that f preserves the relation iff a R b implies f(a) R f(b). what do we call functions from R to R ( real numbers) that preseves the  \leq relation?
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  2. #2
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    Quote Originally Posted by onemore View Post
    Let R be a relation on A and  f: A \rightarrow A be a function. We say that f preserves the relation iff a R b implies f(a) R f(b). what do we call functions from R to R ( real numbers) that preseves the  \leq relation?

    Monotone increasing.

    Tonio
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