Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On a conjecture of the paper Differentiability of the Conjugacy in the
  Hartman-Grobman Theorem   In this note we show that for the construction of differentiable conjugation,
the assumption of the existence of smooth bump function is not necessary, and
consequently the corresponding conjecture stated in the paper of W. Zhang, K.
Lu and W. Zhang "Differentiability of the Conjugacy in the Hartman-Grobman
Theorem" (\cite{ZLZ}) is incorrect. We show that instead of bump functions we
can use smooth blid maps. We also propose a construction of the blid map for
the space $X=C^0[0,1]$, which does not possess a smooth bump function.

22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph