Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Density-Like and Generalized Density Ideals   We show that there exist uncountably many (tall and nontall) pairwise
nonisomorphic density-like ideals on $\omega$ which are not generalized density
ideals. In addition, they are nonpathological. This answers a question posed by
Borodulin-Nadzieja, Farkas, and Plebanek in [J. Symb. Log. \textbf{80} (2015),
1268--1289]. Lastly, we provide sufficient conditions for a density-like ideal
to be necessarily a generalized density ideal.

17
The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
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The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
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The categories of this paper are: eess
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph