Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Classification of Banach Spaces --its Topological and Cardinality
  Properties   Classes of Banach spaces that are finitely, strongly finitely or elementary
equivalent are introduced. On sets of these classes topologies are defined in
such a way that sets of defined classes become compact totally disconnected
topological spaces. Results are used in the problem of synthesis of Banach
spaces, and to describe omittable spaces that are defined below.

36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th