Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The subseries number   Every conditionally convergent series of real numbers has a divergent
subseries. How many subsets of the natural numbers are needed so that every
conditionally convergent series diverges on the subseries corresponding to one
of these sets? The answer to this question is defined to be the subseries
number, a new cardinal characteristic of the continuum. This cardinal is
bounded below by $\aleph_1$ and above by the cardinality of the continuum, but
it is not provably equal to either. We define three natural variants of the
subseries number, and compare them with each other, with their corresponding
rearrangement numbers, and with several well-studied cardinal characteristics
of the continuum. Many consistency results are obtained from these comparisons,
and we obtain another by computing the value of the subseries number in the
Laver model.

18
The categories of this paper are: econ
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
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The categories of this paper are: chem-ph
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The categories of this paper are: funct-an
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The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an