Last Updated
：2025/11/28
inverse system
Noun
Japanese Meaning
数学、特に代数学の文脈において「inverse system」とは、具体的な圏（例：群の圏）の中で、群などの代数構造の集合と、それらの間の写像（例えば群準同型）からなる小さな圏の像を形成するものであり、これが反変関手によって、有向順序集合を定める対象（指標系）から得られる概念です。
（ plural ）
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(algebra) A set of algebraic structures (which are part of a concrete category; e.g., groups) and a set of morphisms between them (e.g., group homomorphisms) which all together form a small category which is the image of a contravariant functor whose domain is a directed poset.
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inverse system
To compute the cohomology of a limit, one often examines the inverse system formed by the cohomology groups of the approximating spaces.
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To compute the cohomology of a limit, one often examines the inverse system formed by the cohomology groups of the approximating spaces.
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