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.

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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}.

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