Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Extension of differentiable local mappings on linear topological spaces   Usually, for extension of local maps, one uses multiplication by so called
bump functions. However, majority of infinite-dimensional linear topological
spaces do not have smooth bump functions. Therefore, in \cite{BR} we suggested
a new approach for Banach spaces, based on the composition with locally
identical maps. In the present work we discuss a possibility of generalization
of this method for arbitrary spaces and applications of this theory.

27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn