Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Galois categories and perfectly reduced schemes   It turns out that one can read off facts about schemes up to universal
homeomorphism from their Galois categories. Here we propose a first modest
slate of entries in a dictionary between the geometric features of a perfectly
reduced scheme (or morphism of such) and the categorical properties of its
Galois category (or functor of such). The main thing that makes this possible
is Schr\"oer's total separable closure.

23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
7
The categories of this paper are: hep-th
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas