nLab
reflective productpreserving sub(∞,1)category
Contents
Context
Notions of subcategory
$(\infty,1)$topos theory
(∞,1)topos theory
Background
Definitions

elementary (∞,1)topos

(∞,1)site

reflective sub(∞,1)category

(∞,1)category of (∞,1)sheaves

(∞,1)topos

(n,1)topos, ntopos

(∞,1)quasitopos

(∞,2)topos

(∞,n)topos
Characterization
Morphisms
Extra stuff, structure and property

hypercomplete (∞,1)topos

over(∞,1)topos

nlocalic (∞,1)topos

locally nconnected (n,1)topos

structured (∞,1)topos

locally ∞connected (∞,1)topos, ∞connected (∞,1)topos

local (∞,1)topos

cohesive (∞,1)topos
Models
Constructions
structures in a cohesive (∞,1)topos
Contents
Definition
A reflective sub(∞,1)category such that the reflector preserves products.
Properties
When formutating “reflective sub$(\infty,1)$category” in the internal language of an (∞,1)topos the respect for products is automatic. See reflective productpreserving sub(∞,1)category  internal formulation.
Created on November 21, 2011 at 16:28:09.
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