inverse limit

Noun

 * 1)  A subset of the Cartesian product of all the members of an inverse system, such that a member M of the subset is a sort of “cross section” of the inverse system (as fiber bundle) induced by the morphisms of it. (If $$i \le j$$ in the indexing poset then $$f_{ij}:A_j \rightarrow A_i$$ in the inverse system and if $$a_i \in A_i$$, $$a_j \in A_j$$ are components of M then $$f_{ij}(a_j) = a_i$$).
 * 2)  a limit
 * 1)  a limit
 * 1)  a limit