Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Brunnian braids and some of their generalizations   We use a variation on the commutator collection process to characterize those
pure braids which become trivial when any one strand is deleted, or, more
generally, those pure braids which become trivial when all the strands in any
one of a list of sets of strands is deleted.

23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci