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Preimage

  • Definition: Let f:A -> B. If B_0 is a subset of B, we denote f^(-1)(B_0) the set of all elements of A whose image under f lie in B_); it is called the preimage of B_) under f (or the "counterimage," or the "inverse image," of B_0). Formally, f^(-1)(B_0) = {a|f(a) is an element of B_0}.

    Source: Topology (second edition) by James R. Munkres

  • Listed under: Set Theory, Field Of Topology, Mathematical Analysis

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