Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Minimal fibrations and the organizing theorem of simplicial homotopy
  theory   Quillen showed that simplicial sets form a model category (with appropriate
choices of three classes of morphisms), which organized the homotopy theory of
simplicial sets. His proof is very difficult and uses even the classification
theory of principal bundles. Thus, Goerss-Jardine appealed to topological
methods for the verification. In this paper we give a new proof of this
organizing theorem of simplicial homotopy theory which is elementary in the
sense that it does not use the classifying theory of principal bundles or
appeal to topological methods.

6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics
4
The categories of this paper are: cond-mat
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex