English Dictionary

inverse system

名詞

(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.

日本語の意味

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。

To compute the cohomology of a limit, one often examines the inverse system formed by the cohomology groups of the approximating spaces.

極限のコホモロジーを計算するために、近似空間のコホモロジー群が形成する逆系を調べることがしばしばある。

意味（1）

(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.

inverse systems （ plural ）