Category theory; homological algebra Representability and the Yoneda lemma Concept
Well-powered category
Summary
A category is well-powered when every object has only a set of subobjects, not a proper class of them. This size condition holds in most categories of everyday algebra and topology. It is a hypothesis of the special adjoint functor theorem and of several existence results for factorisations and limits.
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| Tag | XVG7FPG227 |
|---|---|
| URI | m2://XVG7FPG227 |
| Kind | concept |
| Writing | W0 stub |
| MSC | 18A32, 18A20 |
| Specializes | Category |
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