Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Pair of Quasi-Inverse Functors for an Extension of Perverse Sheaves   In their article "Elementary construction of perverse sheaves", R.MacPherson
and K. Vilonen show that on a Thom-Mather space X the category PervX of
perverse sheaves is equivalent to the category C(F, G, T) whose objects are
data of perverse sheaves on the complementary of the closed strata S, a local
system on S and some gluing data. To show this equivalence of categories, they
define a functor C going from the category PervX to the category C(F, G, T).
This definition is based on the notion of perverse link. They do not define a
quasi-inverse of this functor. moreover they have to consider first the case
where S is contractible and then they extend the equivalence to the topological
case using the stack theory. In this paper we propose to consider what we call
a perverse closed set which is a bit different from a perverse link in order to
define a quasi-inverse to the functor C. Moreover we treat directly the
topological case without using stack theory.

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The categories of this paper are: solv-int
19
The categories of this paper are: eess
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
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The categories of this paper are: adap-org
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-fin
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The categories of this paper are: stat
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The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: mtrl-th
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The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
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The categories of this paper are: plasm-ph