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Results tagged with ct.category-theory
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user 1463
Enriched categories, topoi, abelian categories, monoidal categories, homological algebra.
10
votes
What can be the applications of a theory of schemes à la Grothendieck to the category of gro...
The topology you discuss is closely related to the Gromov--Grigorchuk topology on the space of marked groups. You might be interested in this nice paper of Champetier--Guirardel.
In recent years, mos …
- 25.2k
5
votes
An algebraic approach to the thermodynamic limit $N\rightarrow\infty$?
I doubt the following has anything to do with the thermodynamic limit. However, it has been pointed out that neither the inverse nor the projective limit of a sequence of $\mathbb{Z}/N$'s gives you $ …
- 25.2k
3
votes
Graphs of groups with homomorphisms not necessarily injective
As Yves has already indicated in comments, any "non-injective" graph of groups $\mathcal{G}$ canonically describes a graph of groups $\overline{\mathcal{G}}$ with the usual injectivity hypothesis. I' …
- 25.2k
2
votes
Separators in the Category of Groups
A group surjects onto $\mathbb{Z}$ if and only if its abelianization tensored with the rationals is non-trivial.
- 25.2k