nLab
étale infinity-groupoid
Context
Étale morphisms
-Topos Theory
(∞,1)-topos theory
Background
Definitions
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elementary (∞,1)-topos
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(∞,1)-site
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reflective sub-(∞,1)-category
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(∞,1)-category of (∞,1)-sheaves
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(∞,1)-topos
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(n,1)-topos, n-topos
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(∞,1)-quasitopos
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(∞,2)-topos
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(∞,n)-topos
Characterization
Morphisms
Extra stuff, structure and property
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hypercomplete (∞,1)-topos
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over-(∞,1)-topos
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n-localic (∞,1)-topos
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locally n-connected (n,1)-topos
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structured (∞,1)-topos
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locally ∞-connected (∞,1)-topos, ∞-connected (∞,1)-topos
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local (∞,1)-topos
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cohesive (∞,1)-topos
Models
Constructions
structures in a cohesive (∞,1)-topos
Contents
Idea
An étale ∞-groupoid is meant to be an ∞-groupoid-analog to an étale groupoid.
References
A formalization of the petit (∞,1)-toposes corresponding to étale ∞-groupoids is in
A characterization of étale ∞-groupoids as objects in a big (∞,1)-topos is given in
A formalization in differential cohesion is discussed there.
Revised on March 15, 2013 15:36:56
by
Urs Schreiber
(82.169.65.155)