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How to pronounce “inverse limit”
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Pronunciation guide for inverse limit
- Learning goal
- Practice the English pronunciation of inverse limit with real speech in context.
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- Definition summary
- (algebra) 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
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A Deep Dive Into “inverse limit”
Meaning
- [Noun]
- (algebra) 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
- {\displaystyle i\leq j}
- in the indexing poset then
- f
- i
- j
- :
- A
- j
- →
- A
- i
- {\displaystyle f_{ij}:A_{j}\rightarrow A_{i}}
- in the inverse system and if
- a
- i
- ∈
- A
- i
- {\displaystyle a_{i}\in A_{i}}
- ,
- a
- j
- ∈
- A
- j
- {\displaystyle a_{j}\in A_{j}}
- are components of M then
- f
- i
- j
- (
- a
- j
- )
- =
- a
- i
- {\displaystyle f_{ij}(a_{j})=a_{i}}
- ).
- (category theory) a limit
Practice Nearby Words
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Similar Sounds
inversely, inner planet, interlinked, conversant, elimate, enrollment, unversed, uncinate, amercement, aversely