nLab
reflective product-preserving sub-(∞,1)-category
Contents
Context
Notions of subcategory
-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, n-topos
-
(∞,1)-quasitopos
-
(∞,2)-topos
-
(∞,n)-topos
Characterization
Morphisms
Extra stuff, structure and property
-
hypercomplete (∞,1)-topos
-
over-(∞,1)-topos
-
n-localic (∞,1)-topos
-
locally n-connected (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--category” in the internal language of an (∞,1)-topos the respect for products is automatic. See reflective product-preserving sub-(∞,1)-category - internal formulation.
Created on November 21, 2011 at 16:28:09.
See the history of this page for a list of all contributions to it.