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Teichmüller–Tukey lemma
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Teichmüller–Tukey lemma
In mathematics, the
Teichmüller–Tukey lemma
(sometimes named just
Tukey's lemma
), named after
John Tukey
and
Oswald Teichmüller
, states that every nonempty collection of
finite character
has a
maximal element
with respect to
inclusion
. Over
Zermelo–Fraenkel set theory
, the Teichmüller–Tukey lemma is equivalent to the
axiom of choice
, and therefore to the
well-ordering theorem
,
Zorn's lemma
, and the
Hausdorff maximal principle
.
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