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inverse limit

noun

Definitions

  1. A subset of the Cartesian product of all the members of an inverse system, such that a…

    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<j in the indexing poset then f_ij:A_j→A_i in the inverse system and if a_i∈A_i, a_j∈A_j are components of M then f_ij(a_j)=a_i).

    • Inverse limits are concrete-categorical versions of limits.

  2. a limit

The neighborhood

Vish — recursive loop

No curated loop yet for inverse limit. Loops are being traced one word at a time while the ingestion pipeline matures.

sense glosses and etymology drawn from English Wiktionary · source · CC-BY-SA