502 – Exponentiation

This is the last homework assignment of the term: Assume {\sf CH}. Evaluate the cardinal number \aleph_3^{\aleph_0}, the size of the set of all functions f:\omega\to\omega_3.


4 Responses to 502 – Exponentiation

  1. Matt O'Dell says:

    May we assume GCH here, or just CH?

  2. {\sf CH} suffices, but feel free to assume {\sf GCH} if it helps.

  3. With GCH, I think the problem is too easy, but I don’t know how I can use just CH. I have it bounded between \omega_3 and 2^{\omega_3}.

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out /  Change )

Facebook photo

You are commenting using your Facebook account. Log Out /  Change )

Connecting to %s

%d bloggers like this: