Fun example: empty colimit does not commute with empty limit
2026笔记Bogdan Zavyalov
Why the definition of a filtered category insists on non-emptiness: the empty colimit fails to commute with the empty limit, and that is the only failure.
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Objects and the arrows between them, which turns constructions repeated across mathematics into one statement.
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2026·笔记·Bogdan Zavyalov