Last Updated :2025/11/28

cocone

Noun
Japanese Meaning
(圏論)ある図式の各対象からある対象 V への射が与えられ、任意の射 A に対して、Aを含む三角形の残りの2つの射が可換する、特定の構造を持つ対象。
What is this buttons?

余極限を定義するためには、しばしば図上の余コーン、すなわち図の各対象からある対象Vへ向かう射が与えられ、図中の任意の射Aに対してAと三角形を成すVへの2本の射が可換になるようなものを記述し、それの普遍性を確かめることから始める。

plural

Quizzes for review

(category theory) An object V together with an arrow going from each object of a diagram to V such that for any arrow A in the diagram, the pair of arrows to V which form a triangle with A also commute with it.

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cocone

To define a colimit, one often starts by describing a cocone over the diagram and then checking its universal property.

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To define a colimit, one often starts by describing a cocone over the diagram and then checking its universal property.

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