2 problems

Let $n$ be a positive integer. Let $g_c:\mathbb T^n\to\mathbb T^n$ be a continuous map such that the characteristic polynomial of the induced map $(g_c)_{*1}$ is $t^n-c$, with…

Let $g_c:\mathbb T^n\to\mathbb T^n$ be a continuous map whose induced map on first homology has characteristic polynomial $t^n-c$, where $c>2$ and $n>1$ is a positive integer. Writ…