Last Updated :2025/11/30

functor category

Noun
Japanese Meaning
関手圏(かんてんけん):与えられた定まったドメイン圏から固定された余圏へ送る関手を対象とし、それらの対象間の射が自然変換であるような圏。
What is this buttons?

2つの小さな圏の間の関手圏では、極限と余極限が点ごとに計算されることが多い。

plural

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(category theory) A category whose objects are functors (from some fixed given domain category to some fixed given codomain category) and whose morphisms are natural transformations.

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functor category

The functor category between two small categories often has limits and colimits computed pointwise.

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The functor category between two small categories often has limits and colimits computed pointwise.

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