The introduced set-theoretical concepts allow us to formulate a famous lemma which was stated by Max Zorn (1906 - 1993).
Lemma: Zorn's Lemma
If every chain $S\subseteq X$ in a poset $(V,\preceq )$ has an upper bound, then the poset $V$ contains at least one maximal element.
Table of Contents
Proofs: 1
Mentioned in:
Proofs: 1
Propositions: 2
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References
Bibliography
- Reinhardt F., Soeder H.: "dtv-Atlas zur Mathematik", Deutsche Taschenbuch Verlag, 1994, 10th Edition
- Wille, D; Holz, M: "Repetitorium der Linearen Algebra", Binomi Verlag, 1994
- Hoffmann, D.: "Forcing, Eine Einführung in die Mathematik der Unabhängigkeitsbeweise", Hoffmann, D., 2018
