Shub's entropy conjecture, in its general 
self-map formulation, asserts that a continuously differentiable
map 
of a closed manifold 
satisfies
 |
where 
is topological entropy and 
is the spectral radius
of the induced linear operator on the direct
sum of the real singular
homology groups 
.
The inequality holds for 
maps (Yomdin 1987).
