Last Updated
:2025/11/30
universal morphism
Noun
Japanese Meaning
圏論において、ある関手と固定対象に対して、関手から固定対象へのコマ圏の終対象(ターミナルオブジェクト)または、対になって固定対象から関手へのコマ圏の始対象(初期オブジェクト)として定義される普遍的な射を指す。
( plural )
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(category theory) The terminal object of a comma category from a functor to a fixed object; or, dually, the initial object of a comma category from a fixed object to a functor.
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universal morphism
In many constructions in category theory, a universal morphism from a functor to a fixed object can be characterized as the terminal object of the corresponding comma category.
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In many constructions in category theory, a universal morphism from a functor to a fixed object can be characterized as the terminal object of the corresponding comma category.
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