All Questions

In short my question is: what can we say about the quotient topology induced by the linear flow on a two-torus? I know that an irrational slope leads to a dense winding and hence (if I'm not mistaken) ...

Is it true that every faithful and locally smooth action $S^1 \curvearrowright T^n$ is free? I know such an action must induce an injection $\rho:\pi_1(S^1)\to\pi_1(T^n)$. Another related question is: ...