Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Definable MAD families and forcing axioms   We show that under the Bounded Proper Forcing Axiom and an anti-large
cardinal assumption, there is a $\mathbf{\Pi}^1_2$ MAD family.

11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
16
The categories of this paper are: stat
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg