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Stack comparison lemma

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#category-theory #topos-theory #grothendieck-topologies
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Morphisms of frames induce morphisms of sites

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#category-theory #topos-theory #grothendieck-topologies #locales
51
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What is this Grothendieck's Theory

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#galois-theory #covering-spaces #grothendieck-topologies
42
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Sheaves for a Grothendieck topology compatible with a pretopology

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#sheaf-theory #grothendieck-topologies
48
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Question about tag 03L7 in the stacks project (fpqc covers)

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#algebraic-geometry #schemes #grothendieck-topologies
29
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Characterizing monos/epis of sheaves on a site as injective/surjective maps

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#category-theory #grothendieck-topologies
40
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Question regarding basis (for a Grothendieck topology)

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#category-theory #sieve-theory #grothendieck-topologies
205
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Grothendieck Topology on the Category of Elements

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#category-theory #topos-theory #grothendieck-topologies
101
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What are Mumford's 'moduli topologies'?

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#algebraic-geometry #reference-request #algebraic-stacks #grothendieck-topologies
660
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Lack of "good covers" in the étale topology

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#sheaf-cohomology #etale-cohomology #grothendieck-topologies
498
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Is there a characterization of coverings in subcanonical pretopologies?

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#category-theory #topos-theory #grothendieck-topologies
607
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Can we recover étale, fpqc etc. morphisms of schemes from the affine versions?

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#algebraic-geometry #schemes #topos-theory #grothendieck-topologies
2.2k
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How to obtain Grothendieck’s “Long March Through Galois Theory”

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#reference-request #algebraic-topology #galois-theory #grothendieck-topologies
133
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The solutions are linearly independent and algebraic

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#abstract-algebra #ordinary-differential-equations #differential-algebra #grothendieck-topologies
89
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Bijection between left exact localizations of $PSh(C)$ and Grothendieck topologies on $C$

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#category-theory #sheaf-theory #grothendieck-topologies

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