Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Boolean algebra and a Banach space obtained by push-out iteration   Under the assumption that the continuum c is a regular cardinal, we prove the
existence and uniqueness of a Boolean algebra B of size c defined by sharing
the main structural properties that P(N)/fin has under CH and in the
aleph2-Cohen model. We prove a similar result in the category of Banach spaces.

31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg