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Enriched categories, topoi, abelian categories, monoidal categories, homological algebra.
8
votes
Which spaces have enough curves
One can prove the following :
(1) If $X$ has enough curves, then $X$ is sequential and locally path-connected.
(2) If $X$ is first-countable and locally path-connected, then $X$ has enough curves.
…
4
votes
0
answers
130
views
A right adjoint to the truncated Witt functor?
For any ring $A$, let $\mathrm{wEt}_A$ be the category of weakly etale $A$-algebras ; it is a cocomplete category. By a theorem of Van der Kallen, the truncated Witt vector functor
$$
W_r : \mathrm{w …