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Results tagged with ct.category-theory
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user 519114
Enriched categories, topoi, abelian categories, monoidal categories, homological algebra.
3
votes
0
answers
143
views
Categorification of a vector space such that a functor between these is a linear map?
A functor between two monoids seen as 1 object categories is essentially a monoid-homomorphism. What is the equivalent construction for vector spaces and linear maps?
- 199
2
votes
0
answers
111
views
Crossed homomorphism as morphism in the ambient category
Suppose we are given a crossed-homomorphism $\phi:G\to A$ (and an action $\alpha$ of $G$ on $A$)
$\phi(ab)=\phi(a)+\alpha(a)(\phi(b))$. Now, unless the action is trivial, this is not a homomorphism an …
- 199