Cofree Objects in The Centralizer and The Center Categories

Adnan H. Abdulwahid

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arXiv · 1603.02386

Cofree Objects in The Centralizer and The Center Categories

Adnan H. Abdulwahid

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Abstract

We study cocompleteness, co-wellpoweredness and generators in the centralizer category of an object or morphism in a monoidal category, and the center or the weak center of a monoidal category. We explicitly give some answers for when colimits, cocompleteness, co-wellpoweredness and generators in these monoidal categories can be inherited from their base monidal categories. Most importantly, we investigate cofree objects of comonoids in these monoidal categories.

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Adnan H. Abdulwahid. 2016-03-08. Cofree Objects in The Centralizer and The Center Categories. https://arxiv.org/abs/1603.02386

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