Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Zigzag Persistence   We describe a new methodology for studying persistence of topological
features across a family of spaces or point-cloud data sets, called zigzag
persistence. Building on classical results about quiver representations, zigzag
persistence generalises the highly successful theory of persistent homology and
addresses several situations which are not covered by that theory. In this
paper we develop theoretical and algorithmic foundations with a view towards
applications in topological statistics.

2
The categories of this paper are: math
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph