Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Simplicial Model of Univalent Foundations (after Voevodsky)   We present Voevodsky's construction of a model of univalent type theory in
the category of simplicial sets.
  To this end, we first give a general technique for constructing categorical
models of dependent type theory, using universes to obtain coherence. We then
construct a (weakly) universal Kan fibration, and use it to exhibit a model in
simplicial sets. Lastly, we introduce the Univalence Axiom, in several
equivalent formulations, and show that it holds in our model.
  As a corollary, we conclude that Martin-L\"of type theory with one univalent
universe (formulated in terms of contextual categories) is at least as
consistent as ZFC with two inaccessible cardinals.

16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol