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universal property
名詞
(mathematics) The property of there being a unique morphism from an arbitrary object to the universal morphism of a comma category which is from a functor to a fixed object; or, dually, the property of there being a unique morphism from the universal morphism to an arbitrary object of a comma category which is from a fixed object to a functor. (Caveat: the uniqueness is up to isomorphism.)
日本語の意味
数学、特に圏論における概念で、合同圏の文脈で定義される。具体的には、固定された対象と関手との間、またはその逆の関係において、普遍射（ユニヴァーサルモルフィズム）から任意の対象へ、または任意の対象から普遍射へ、一意（同型を許す一意）な射が存在するという性質を指す。
英語の意味
(mathematics) The property of there being a unique morphism from an arbitrary object to the universal morphism of a comma category which is from a functor to a fixed object; or, dually, the property of there being a unique morphism from the universal morphism to an arbitrary object of a comma category which is from a fixed object to a functor. (Caveat: the uniqueness is up to isomorphism.)
関連語
