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Results tagged with ct.category-theory
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user 309319
Enriched categories, topoi, abelian categories, monoidal categories, homological algebra.
10
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Do colimits of manifolds coincide with underlying colimits as topological spaces?
Categories of manifolds (possibly with extra structure) tend not to have all colimits.
Other questions have addressed when colimits of manifolds exist.
I'd like to know what we can say in general abou …
3
votes
Do colimits of manifolds coincide with underlying colimits as topological spaces?
I'll write up Martin Brandenburg's comment as an answer:
Here is an example which shows that the inclusion functor $\mathsf{Man} \hookrightarrow \mathsf{Top}$ does not preserve colimits. Consider the …