Knaster–Tarski theorem

In the mathematical areas of order and lattice theory, the Knaster–Tarski theorem, named after Bronisław Knaster and Alfred Tarski, states the following: Let (L, ≤) be a complete lattice and let f : L → L be an order-preserving (monotonic) function with respect to ≤. Then the set of fixed points of f in L forms a complete lattice under ≤.

Source: Wikipedia — Knaster–Tarski theorem (CC BY-SA 4.0)

Knaster–Tarski theorem

In the mathematical areas of order and lattice theory, the Knaster–Tarski theorem, named after Bronisław Knaster and Alfred Tarski, states the following: Let (L, ≤) be a complete lattice and let f : L → L be an order-preserving (monotonic) function with respect to ≤. Then the set of fixed points of f in L forms a complete lattice under ≤.

Source: Wikipedia "Knaster–Tarski theorem" · CC BY-SA 4.0

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