Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Lattice-Theoretic Perspective on the Persistence Map   We provide a naturally isomorphic description of the persistence map from
merge trees to barcodes in terms of a monotone map from the partition lattice
to the subset lattice. Our description is local, which offers the potential to
speed up inverse computations, and brings classical tools in combinatorics to
bear on an active area of research in topological data analysis (TDA).

21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc