Measure, Integration & Real Analysis · Problem 6D.11

L^p Spaces — Sheldon Axler

Mathematics — Measure Theory · zorns-lemma-example

Problem

Show that the collection

\mathcal{A} = \{k\mathbf{Z} : k = 2, 3, 4, \ldots\}

of subsets of

\mathbf{Z}

satisfies the hypothesis of Zorn's Lemma (6.60).