Category:Examples of Limits and Colimits
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This category contains examples of Limit (Category Theory) in the context of Category Theory.
Let $\mathbf C$ be a metacategory.
Let $D: \mathbf J \to \mathbf C$ be a $\mathbf J$-diagram in $\mathbf C$.
Let $\mathbf{Cone} \left({D}\right)$ be the category of cones to $D$.
A limit for $D$ is a terminal object in $\mathbf{Cone} \left({D}\right)$.
It is denoted by $\varprojlim_j D_j$; the associated morphisms $p_i: \varprojlim_j D_j \to D_i$ are usually left implicit.
Subcategories
This category has only the following subcategory.
D
- Direct Limits of Sequences of Groups (empty)