Hello,

The open long ray $\displaystyle L^{+}=w_{1}\times[0,1)-{(0,0)}$. My question is how can we show that the open long ray is Hausdorff locally homeomorphic to the real line $\displaystyle R$, so that it is a manifold of 1-dimension. Also, how can we show that it is normal but not metrizable.

Please guide me

Thank you in advance