Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On linear topological spaces (linearly) homeomorphic to $R^\infty$   We prove that every infinite-dimensional (locally convex) linear topological
space that can be expressed as a direct limit of finite-dimensional metrizable
compacta is (linearly) homeomorphic to the space $R^\infty=\dlim R^n$.

7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org