Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stable systolic category of the product of spheres   The stable systolic category of a closed manifold M indicates the complexity
in the sense of volume. This is a homotopy invariant, even though it is defined
by some relations between homological volumes on M. We show an equality of the
stable systolic category and the real cup-length for the product of arbitrary
finite dimensional real homology spheres. Also we prove the invariance of the
stable systolic category under the rational equivalences for orientable
0-universal manifolds.

13
The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat
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The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
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The categories of this paper are: stat
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The categories of this paper are: adap-org
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The categories of this paper are: chem-ph
1
The categories of this paper are: cs
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The categories of this paper are: q-fin
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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: supr-con
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The categories of this paper are: solv-int