Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On macroscopic dimension of rationally essential manifolds   We construct a counterexamples in dimensions $n>3$ to Gromov's conjecture
\cite{Gr1} that the macroscopic dimension of rationally essential
$n$-dimensional manifolds equals $n$.

21
The categories of this paper are: adap-org
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
24
The categories of this paper are: dg-ga
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc