Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Reproducing Kernel Hilbert Spaces Cannot Contain all Continuous
  Functions on a Compact Metric Space   Given an uncountable, compact metric space, we show that there exists no
reproducing kernel Hilbert space that contains the space of all continuous
functions on this compact space.

26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg