Hausdorff's Maximal Principle/Formulation 1

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Let $\struct {\PP, \preceq}$ be a non-empty partially ordered set.

Then there exists a maximal chain in $\PP$.

Also known as

Hausdorff's Maximal Principle is also known as the Hausdorff Maximal Principle.

Some sources call it the Hausdorff Maximality Principle or the Hausdorff Maximality Theorem.

Also see

  • Results about Hausdorff's maximal principle can be found here.

Source of Name

This entry was named for Felix Hausdorff.