Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Metric regularity, pseudo-Jacobians and global inversion theorems on
  Finsler manifolds   Our aim in this paper is to study the global invertibility of a locally
Lipschitz map $f:X \to Y$ between (possibly infinite-dimensional) Finsler
manifolds, stressing the connections with covering properties and metric
regularity of $f$. To this end, we introduce a natural notion of
pseudo-Jacobian $Jf$ in this setting, as is a kind of set-valued differential
object associated to $f$. By means of a suitable index, we study the relations
between properties of pseudo-Jacobian $Jf$ and local metric properties of the
map $f$, which lead to conditions for $f$ to be a covering map, and for $f$ to
be globally invertible. In particular, we obtain a version of Hadamard integral
condition in this context.

4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
19
The categories of this paper are: eess
10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph