ASL-STEM Forum

You can search for a category or topic by name. Simply begin typing a query and you will be able to choose from a list of matches.

... >> Mathematics >> Mathematical Analysis >> Preimage

Highest Rated Sign

Nobody has posted a sign yet.

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