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Enriched categories, topoi, abelian categories, monoidal categories, homological algebra.

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Injective maps and direct limits [closed]

I have the following question. Assume you have a category $\mathcal{C}$ such that direct limits exists. Let $(C_n)_{n\in\mathbb{N}}$ be a sequence of objects in $\mathcal{C}$ and consider the followin …
Jokubas Rahman's user avatar