Show that (a,b) is homeomorphic to R..
Thank you in advance
You've left out a lot! Are we to assume that (a, b) is an interval in R with the "usual topology"? If so, you basically need to find a one-to-one function from (a,b) onto R. You should be able to find a rational function that maps a to $\displaystyle -\infty$ and b to $\displaystyle \infty$.