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Book: LimitsVsColimits

See: Math notebook, Category theory, Category theory glossary

Investigation: Explore how limits describe external relations whereas colimits describe internal structure.


Examples of limits

Examples of colimits

Differences between limits and colimits

Moving from internal structure to external representations - from How to What. And then we also move from the sum of external relations (why) to the inherent internal reference (Whether). So this is a (one-sided?) dual direction.

Concept of limits. Terrence Tao: Analytic limits need neighborhoods. Categorical limits need maps. Third kind of limit: Ultraproducts.

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Puslapis paskutinį kartą pakeistas 2020 balandžio 13 d., 14:09