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Do the effective descent morphisms w.r.t the codomain fibration hint at the "right topology"?

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#category-theory #sheaf-theory #descent #grothendieck-topologies #algebraic-stacks
1.2k
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Grothendieck topology and relation with usual topologies

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#category-theory #grothendieck-topologies
850
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Why is the fundamental group a sheaf in the etale topology?

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#algebraic-geometry #galois-theory #fundamental-groups #arithmetic-geometry #grothendieck-topologies
663
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Sober Topological Space and its associated site

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#algebraic-geometry #category-theory #grothendieck-topologies
70
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Under-site like subspace topology

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#general-topology #category-theory #topos-theory #grothendieck-topologies
149
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Proving $\operatorname{Spec} k[x]$ is internally a ring of fractions in the internal language of the Zariski topos

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#category-theory #schemes #topos-theory #affine-schemes #grothendieck-topologies
174
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Characterization of covering families in terms of joint epimorphy of images

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#category-theory #sheaf-theory #topos-theory #grothendieck-topologies
245
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Expressing "a subobject is a union of other subobjects" in a topos

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#category-theory #topos-theory #grothendieck-topologies
340
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Schanuel topos: singleton coverage vs atomic topology

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#sheaf-theory #topos-theory #grothendieck-topologies
71
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For which topologies is the pointwise coproduct already a sheaf?

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#sheaf-theory #grothendieck-topologies
526
Views

Dense topology <=> double negation operator in a constructive metatheory?

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#logic #topos-theory #constructive-mathematics #grothendieck-topologies
340
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Exactness of direct image functor of presheaves

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#algebraic-geometry #category-theory #etale-cohomology #grothendieck-topologies
58
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Characterisation of $\mathbf{Hom}(C,F)$

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#category-theory #grothendieck-topologies
98
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What is the canonical topology on a complete heyting algebra?

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#category-theory #grothendieck-topologies #heyting-algebra
69
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vanishing cohomology for indiscrete Grothendieck topology

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#algebraic-geometry #sheaf-cohomology #grothendieck-topologies

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