Hello!

I do have a question referring page 18 at the following link:

http://www.math.cornell.edu/~erin/docs/dimension.pdf

My question is why I can consider those s for which $\displaystyle 1 < H^{s} \left(F \right)$

Or differently asked: How do I know that $\displaystyle 1 < H^{s} \left(F \right)$ ?

I can see how it leads to the result but why can I consider those s?

Thanks.