# Math Help - Homeomorphism

1. ## Homeomorphism

Show that (a,b) is homeomorphic to R..

Thank you in advance

2. Originally Posted by math.dj
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 $-\infty$ and b to $\infty$.