Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: About the number of connected components in arrangements of hyperplanes   We consider arrangements of n hyperplanes of codimension one in a real
projective space of dimension d. Let us denote by F the maximal possible number
f of connected components of the complement in the projective space of
dimension d to the union of n hyperplanes. We prove that for sufficiently large
n and for d>3 almost all integers between n and F could be realized as the
numbers of regions for some arrangements of n hyperplanes in the projective
space. This fact was known before for d=2,3.

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The categories of this paper are: q-fin
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The categories of this paper are: nucl-th
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The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: supr-con
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The categories of this paper are: chao-dyn
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The categories of this paper are: eess
8
The categories of this paper are: hep-ex
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The categories of this paper are: hep-th
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The categories of this paper are: atom-ph
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The categories of this paper are: patt-sol