direct limit
The term "direct limit" is central in algebra and category theory, particularly in algebraic topology and homological algebra.
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Definition
C2Category Theory
(technical, academic)A construction that combines a directed system of objects and morphisms into a single object that encapsulates the entire system.
Example
- In category theory, a direct limit allows us to understand the global structure from its local components.
C2Algebra
(technical, academic)The colimit of a directed system of algebraic structures, representing their coherent union while respecting morphisms.
Example
- The direct limit of a sequence of groups connected by homomorphisms provides a way to study their collective properties.
Similar
Terms that have similar or relatively close meanings to "direct limit":
fixed limitlimit biddirect caseinverse limittime limitterm limitdirect accesscity limitquantum limitpush the limit