Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tarski Measure   We present an approach to the study of stationary measures placing Tarski's
foundational work in this area within a modern category theoretic context.
Guiding this work is the notion that measurable spaces equipped with symmetries
carry an intrinsic notion of `size'. We demonstrate that within such measurable
spaces, the collection of these sizes embeds into a partially ordered
commutative inverse monoid. Using this we prove, in great generality, the basic
theorems of measure theory and give an algebraic characterization of the space
of classical real valued stationary measures.

32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom