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Questions tagged [grothendieck-topology]

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4 votes
1 answer
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Are the two definitions of fppf topology on the category of schemes the same?

Consider the definition of fppf (pre)topology on the category of schemes $\mathrm{Sch}$. Maybe, most textbooks define an fppf covering of $U\in\mathrm{Sch}$ as a family of morphisms $\mathscr{U} = \{...
Zuka's user avatar
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7 votes
1 answer
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Bisimplicial spaces as a coequalizer of maps between "simpler" bisimplicial spaces

From a bisimplicial space $T$, one can consider the simplicial spaces $p \mapsto T_{pp}$, $p \mapsto | q \mapsto T_{pq}|$, and $q \mapsto |p \mapsto T_{pq}|$, where $| \cdot|$ denotes geometric ...
ems's user avatar
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