Grothendieck topology on stacks/fibred category Announcing the arrival of Valued Associate #679: Cesar Manara Planned maintenance scheduled April 17/18, 2019 at 00:00UTC (8:00pm US/Eastern)Stack on commutative ring spectra?What are Mumford's 'moduli topologies'?Bijection between left exact localizations of $PSh(C)$ and Grothendieck topologies on $C$Covering sieves in a Grothendieck topologyIntersection condition for a Grothendieck topologyIs an étale morphism of algebraic stacks locally quasi-finite?Structures on Artin stacks and fppf-descentStacks and Grothendieck topology.Is a topological category a Grothendieck site?Set theoretic issues in the definition of a site in Stacks Project
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Grothendieck topology on stacks/fibred category
Announcing the arrival of Valued Associate #679: Cesar Manara
Planned maintenance scheduled April 17/18, 2019 at 00:00UTC (8:00pm US/Eastern)Stack on commutative ring spectra?What are Mumford's 'moduli topologies'?Bijection between left exact localizations of $PSh(C)$ and Grothendieck topologies on $C$Covering sieves in a Grothendieck topologyIntersection condition for a Grothendieck topologyIs an étale morphism of algebraic stacks locally quasi-finite?Structures on Artin stacks and fppf-descentStacks and Grothendieck topology.Is a topological category a Grothendieck site?Set theoretic issues in the definition of a site in Stacks Project
$begingroup$
Let $p : mathcalS rightarrow mathcalC$ be a stack (or fibred category, I do not know if just being a fibred category is enough) over the site $mathcalC$.
I have read somewhere (I forgot where but I think on "Stacks project") that the site $mathcalC$ induces a Grothendieck topology on $mathcalS$ (something to do with a definition of strongly Cartesian) but I forgot the link and also the proof.
Can somebody explain to me the proof of this result (or the link)?
category-theory grothendieck-topologies algebraic-stacks topological-stacks
asked Mar 26 at 16:38
MathemagicianMathemagician
717
$endgroup$
add a comment |
$begingroup$
Let $p : mathcalS rightarrow mathcalC$ be a stack (or fibred category, I do not know if just being a fibred category is enough) over the site $mathcalC$.
I have read somewhere (I forgot where but I think on "Stacks project") that the site $mathcalC$ induces a Grothendieck topology on $mathcalS$ (something to do with a definition of strongly Cartesian) but I forgot the link and also the proof.
Can somebody explain to me the proof of this result (or the link)?
category-theory grothendieck-topologies algebraic-stacks topological-stacks
asked Mar 26 at 16:38
MathemagicianMathemagician
717
$endgroup$
add a comment |
$begingroup$
Let $p : mathcalS rightarrow mathcalC$ be a stack (or fibred category, I do not know if just being a fibred category is enough) over the site $mathcalC$.
I have read somewhere (I forgot where but I think on "Stacks project") that the site $mathcalC$ induces a Grothendieck topology on $mathcalS$ (something to do with a definition of strongly Cartesian) but I forgot the link and also the proof.
Can somebody explain to me the proof of this result (or the link)?
category-theory grothendieck-topologies algebraic-stacks topological-stacks
asked Mar 26 at 16:38
MathemagicianMathemagician
717
$endgroup$
Let $p : mathcalS rightarrow mathcalC$ be a stack (or fibred category, I do not know if just being a fibred category is enough) over the site $mathcalC$.
I have read somewhere (I forgot where but I think on "Stacks project") that the site $mathcalC$ induces a Grothendieck topology on $mathcalS$ (something to do with a definition of strongly Cartesian) but I forgot the link and also the proof.
Can somebody explain to me the proof of this result (or the link)?
category-theory grothendieck-topologies algebraic-stacks topological-stacks
category-theory grothendieck-topologies algebraic-stacks topological-stacks
asked Mar 26 at 16:38
MathemagicianMathemagician
717
asked Mar 26 at 16:38
MathemagicianMathemagician
717
asked Mar 26 at 16:38
MathemagicianMathemagician
717
asked Mar 26 at 16:38
MathemagicianMathemagician
717
asked Mar 26 at 16:38
MathemagicianMathemagician
717
717
add a comment |
add a comment |
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