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enriched slice category

Enriched slice categories

Enriched slice categories

Idea

The notion of enriched slice categories is the generalization of the notion of slice categories from plain category theory of locally small categories to enriched category theory of 𝒱\mathcal{V}-enriched categories.

Definition

Definition

Let

Then the enriched slice category (or enriched over-category) C/xC/x is the following VV-enriched category:

Remark

The dual concept is the enriched co-slice category or enriched under-category, the enriched generalization of the notion of co-slice category.

Properties

References

  • MathOverflow, Enriched slice categories (MO:q/259829)

Last revised on October 11, 2021 at 06:26:30. See the history of this page for a list of all contributions to it.