Self-similar sets as Tarski's fixed points

DOI10.2977/prims/1195178796zbMath0618.54030OpenAlexW2081395299WikidataQ55969264 ScholiaQ55969264MaRDI QIDQ1822376

Susumu Hayashi

Publication date: 1985

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195178796

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Length, area, volume, other geometric measure theory (28A75)

Related Items (12)

Measuring the probabilistic powerdomain ⋮ Coalgebraic Representation Theory of Fractals ⋮ Unnamed Item ⋮ A computational model for metric spaces ⋮ Invariant sets and Knaster-Tarski principle ⋮ Survey on Metric Fixed Point Theory and Applications ⋮ Fixed set theory for closed correspondences with applications to self-similarity and games. ⋮ Domains for Computation in Mathematics, Physics and Exact Real Arithmetic ⋮ METRIC AND TOPOLOGICAL MULTIVALUED FRACTALS ⋮ Multivalued fractals ⋮ Self-similar sets. III: Constructions with sofic systems ⋮ The Tarski–Kantorovitch prinicple and the theory of iterated function systems

Cites Work

• Self-reference and fixed points: A discussion and an extension of Lawvere's theorem
• The lambda calculus, its syntax and semantics
• On the structure of self-similar sets
• Topologies on Spaces of Subsets
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• Unnamed Item

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