Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Otopy classification of gradient compact perturbations of identity in
  Hilbert space   We prove that the inclusion of the space of gradient local maps into the
space of all local maps from Hilbert space to itself induces a bijection
between the sets of the respective otopy classes of these maps, where by a
local map we mean a compact perturbation of identity with a compact preimage of
zero.

33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex