inverse limit

Meaning

Noun

• 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 $i\; \backslash le\; j$ in the indexing poset then $f\_\{ij\}:A\_j\; \backslash rightarrow\; A\_i$ in the inverse system and if $a\_i\; \backslash in\; A\_i$, $a\_j\; \backslash in\; A\_j$ are components of M then $f\_\{ij\}(a\_j)\; =\; a\_i$).
• a limit

Related

Similar words

• projective limit

Opposite words

• direct limit