# Homework Help: Munkres question

1. Feb 22, 2008

### ehrenfest

[SOLVED] munkres question

1. The problem statement, all variables and given/known data
In Theorem 20.5, what is i? Are they assuming the index set omega is countable?

2. Relevant equations

3. The attempt at a solution

2. Feb 22, 2008

### morphism

Yes. $\mathbb{R}^{\omega}$ is used to denote the set of all sequences of reals, see page 38. In general, $\omega$ is used to denote the smallest infinite ordinal, and hence is associated with countably infinite products and such.