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Enriched categories, topoi, abelian categories, monoidal categories, homological algebra.
2
votes
1
answer
659
views
How to define 0-sphere in a category with zero object?
The 0-sphere $S^0$ is the coproduct of two points,
$$S^0 \simeq \ast \sqcup \ast$$
How to define 0-sphere in a category with zero object?
Let $\mathcal{C}$ be a category. A cylinder, $\mathbf{I}$, on …
5
votes
2
answers
1k
views
Suspensions are H-cogroup objects
Do you know any reference where you have a formal justification for the following statement that appears in nLab?
https://ncatlab.org/nlab/show/suspensions+are+H-cogroup+objects
"Let $\mathcal{C}$ b …