M. Shulman. (2013)cite http://arxiv.org/abs/1307.6248arxiv:1307.6248Comment: 21 pages.
Abstract
We show that Voevodsky's univalence axiom for intensional type theory is
valid in categories of simplicial presheaves on elegant Reedy categories. In
addition to diagrams on inverse categories, as considered in previous work of
the author, this includes bisimplicial sets and Theta-spaces.
Description
[1307.6248] The univalence axiom for elegant Reedy presheaves
%0 Generic
%1 shulman2013univalence
%A Shulman, Michael
%D 2013
%K HoTT Univalence model
%T The univalence axiom for elegant Reedy presheaves
%U http://arxiv.org/abs/1307.6248
%X We show that Voevodsky's univalence axiom for intensional type theory is
valid in categories of simplicial presheaves on elegant Reedy categories. In
addition to diagrams on inverse categories, as considered in previous work of
the author, this includes bisimplicial sets and Theta-spaces.
@misc{shulman2013univalence,
abstract = {We show that Voevodsky's univalence axiom for intensional type theory is
valid in categories of simplicial presheaves on elegant Reedy categories. In
addition to diagrams on inverse categories, as considered in previous work of
the author, this includes bisimplicial sets and Theta-spaces.},
added-at = {2014-12-14T03:34:59.000+0100},
author = {Shulman, Michael},
biburl = {https://www.bibsonomy.org/bibtex/2fdfd14746be67ce5f7ad09a517f810c6/t.uemura},
description = {[1307.6248] The univalence axiom for elegant Reedy presheaves},
interhash = {e83089ced2f3b032ce45f26e54e315d8},
intrahash = {fdfd14746be67ce5f7ad09a517f810c6},
keywords = {HoTT Univalence model},
note = {cite \href{http://arxiv.org/abs/1307.6248}{arxiv:1307.6248}Comment: 21 pages},
timestamp = {2014-12-14T03:34:59.000+0100},
title = {The univalence axiom for elegant Reedy presheaves},
url = {http://arxiv.org/abs/1307.6248},
year = 2013
}