Word.ws English Dictionary

inverse limits

inverse limits is the plural of inverse limit.

Meaning of inverse limit

Noun

inverse limit (plural inverse limits)

  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<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).
    • An inverse limit has “natural projections” which are restrictions of the projections of the Cartesian product (to a domain which is the inverse limit). The reason why the projections are described as “natural” would be the following: besides the functor from an index poset to the inverse system...
  2. a limit

Questions about inverse limits

What is inverse limits the plural of?
Inverse limits is the plural of inverse limit.

Words near inverse limits in the dictionary

  1. inverse hyperbolic functions
  2. inverse image
  3. inverse images
  4. inverse kinematics
  5. inverse limit
  6. inverse limits
  7. inverse matrices
  8. inverse matrix
  9. inverse matrixes
  10. inverse number
  11. inverse proportion

Source and license

Adapted from Wiktionary: inverse limits (page history and authors); inverse limit (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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