Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some Banach spaces added by a Cohen real   We study certain Banach spaces that are added in the extension by one Cohen
real. Specifically, we show that adding just one Cohen real to any model adds a
Banach space of density $\aleph_1$ which does not embed into any such space in
the ground model such a Banach space can be chosen to be UG This has
consequences on the the isomorphic universality number for Banach spaces of
density $\aleph_1$, which is hence equal to $\aleph_2$ in the standard Cohen
model and the same is true for UG spaces. Analogous universality results for
Banach spaces are true for other cardinals, by a different proof.

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The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph