nLab
model site
Contents
Context
-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
The notion of model site is a model category model for the notion of (∞,1)-site.
An (∞,1)-category equipped with the structure of a site on its homotopy category serves as a domain for ∞-stacks. It may be modeled by a model category.
A model category with a site structure on its homotopy category is called a pseudo model site (def 4.1.1 in ToVeI).
Examples
References
Last revised on March 8, 2014 at 05:08:55.
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