nLab
(2,1)-site
Redirected from "(2,1)-sites".
Contents
Context
-Topos Theory
(∞,1)-topos theory
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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
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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
structures in a cohesive (∞,1)-topos
Contents
Definition
A -site is an (∞,1)-site. whose underlying (∞,1)-category is a (2,1)-category. Equivalently, it is a 2-site whose underlying 2-category is a (2,1)-category.
Properties
The (2,1)-category of (2,1)-sheaves on a (2,1)-site is a Grothendieck-(2,1)-topos.
The (∞,1)-category of (∞,1)-sheaves on a -site is an 2-localic (∞,1)-topos.
Last revised on September 16, 2012 at 00:35:23.
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