Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On a conjecture of Daniel H. Gottlieb   We give a counterexample to a conjecture of D.H. Gottlieb and prove a
strengthened version of it. The conjecture says that a map from a finite
CW-complex X to an aspherical CW-complex Y with non-zero Euler characteristic
can have non-trivial degree (suitably defined) only if the centralizer of the
image of the fundamental group of X is trivial. As a corollary we show that in
the above situation all components of non-zero degree maps in the space of maps
from X to Y are contractible.

32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics