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Tarski: a lattice-theoretical fixpoint theorem and applications

Proved fixed-point results for order-preserving transformations of complete lattices and developed applications in ordered sets, functions, Boolean algebras, set theory and topology.

What is recorded here?

Proved fixed-point results for order-preserving transformations of complete lattices and developed applications in ordered sets, functions, Boolean algebras, set theory and topology.

Source-linked catalogue note. A detailed explanatory guide has not yet been prepared for this entry.

Scientific scope

The record is Tarski's sole-author 1955 Pacific Journal of Mathematics paper. It does not erase Knaster's antecedent, apply without the paper's order and completeness hypotheses or absorb later fixed-point variants and computational uses.

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People and systems

Alfred Tarski

The named authors contributed to this scoped work; individual effort shares and later applications are not assigned by the byline.

Research locations and affiliations

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Documented countries / regions: Poland, United States

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English catalogue narrative

Tarski: a lattice-theoretical fixpoint theorem and applications

Proved fixed-point results for order-preserving transformations of complete lattices and developed applications in ordered sets, functions, Boolean algebras, set theory and topology.

Scientific scope

The record is Tarski's sole-author 1955 Pacific Journal of Mathematics paper. It does not erase Knaster's antecedent, apply without the paper's order and completeness hypotheses or absorb later fixed-point variants and computational uses.

Reading status

This is a source-linked WRS catalogue note. A full explanatory guide and independent scientific reconstruction have not been completed for this entry. Read the identified original work for its complete narrative and arguments.

People and systems

Alfred Tarski

The named authors contributed to this scoped work; individual effort shares and later applications are not assigned by the byline.

Original sources