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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. …
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4 votes
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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 …
js21's user avatar
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