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Results tagged with ct.category-theory
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user 2625
Enriched categories, topoi, abelian categories, monoidal categories, homological algebra.
2
votes
3
answers
2k
views
Distributivity / commutativity of pushouts and pullbacks
What does it exactly mean to say that in a certain category pushouts and pullbacks "commute"? Is it the same to say that they "distribute"?
- 2,782
4
votes
3
answers
3k
views
Internal hom of sheaves
Consider a topos, i.e. the category $Shv$ of sheaves on a Grothendieck site $T$ with values in abelian groups. The category $Shv$ is symmetric monoidal with $\otimes$, the tensor product in every degr …
- 2,782
8
votes
2
answers
481
views
Swan-like theorem and covering spaces
Let $X$ be a finite CW complex. Swan's theorem provide an equivalence
$$
{\rm Vec}(X)\xrightarrow\sim{\rm ProjMod}(\mathop{\rm hom}\nolimits_{\rm Top}(X,\mathbb{R}))
$$
between the category of finite …
- 2,782