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Results tagged with ct.category-theory
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user 128502
Enriched categories, topoi, abelian categories, monoidal categories, homological algebra.
5
votes
1
answer
332
views
Is there a higher categorical structure which models the (higher) conjugation actions of a g...
Let $G$ be a group, and consider the action of $G$ on itself by conjugation. If we think of $G$ as a one object category, then the conjugation action can be realised as automorphisms of this category, …
- 1,949
4
votes
0
answers
131
views
Weakening of terminal object in a category
I’ve come across a category $\mathcal{C}$ recently with an object $T$ such that any other object $X$ has a map $f:X\rightarrow T$, and for any two maps $f,g:X\rightarrow T$, there exists a (not necess …
- 1,949
11
votes
1
answer
1k
views
Are groups determined by their morphisms from solvable groups?
$\newcommand{\Grp}{\mathrm{Grp}}$Consider the category of groups $\Grp$, and within it we have the solvable groups $S$. Then any group $G$ determines the functor from solvable groups: $$h_G:=\text{hom …
- 1,949