Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Interpretation of intuitionistic solution of the vacuum Einstein
  equations in smooth topos   The topos theory is a theory which is used for deciding a number of problems
of theory of relativity, gravitation and quantum physics. In the article
spherically symmetric solution of the vacuum Einstein equations in the
Intuitionistic theory of Gravitation at different stages of smooth topos ${\bf
Set}^{\bf L_{op}}$ is considered. Infinitesimal "weak" gravitational field can
be strong at some stagies, for which we have the additional dimensions. For
example, the cosmological constant is not constant with respect to additional
dimensions. Signature of space-time metric can depend of density of vacuum and
cosmological constant.

29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex