Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Model Theory for $C_p$-theorists   We survey discrete and continuous model-theoretic notions which have
important connections to general topology. We present a self-contained
exposition of several interactions between continuous logic and $C_p$-theory
which have applications to a classification problem involving Banach spaces not
including $c_0$ or $l^p$, following recent results obtained by P. Casazza and
J. Iovino for compact continuous logics. Using $C_p$-theoretic results
involving Grothendieck spaces and double limit conditions, we extend their
results to a broader family of logics, namely those with a first countable
weakly Grothendieck space of types. We pose $C_p$-theoretic problems which have
model-theoretic implications.

10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat