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A note on the Knaster–Tarski Fixpoint Theorem

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This note shows that several statements about fixpoints in order theory are equivalent to Knaster–Tarski Fixpoint Theorem for complete lattices. All proofs have been done in Zermelo–Fraenkel set theory without… Click to show full abstract

This note shows that several statements about fixpoints in order theory are equivalent to Knaster–Tarski Fixpoint Theorem for complete lattices. All proofs have been done in Zermelo–Fraenkel set theory without the Axiom of Choice.

Keywords: tarski fixpoint; note; fixpoint theorem; knaster tarski

Journal Title: Algebra Universalis
Year Published: 2020

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