Clones from creatures

DOI10.1090/S0002-9947-04-03593-7zbMath1081.08006arXivmath/0212379MaRDI QIDQ4679381

Saharon Shelah, Martin Goldstern

Publication date: 30 May 2005

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0212379

zbMATH Keywords

continuum hypothesismaximal clonesclones on infinite setsspecial forcing techniques

Mathematics Subject Classification ID

Continuum hypothesis and Martin's axiom (03E50) Applications of set theory (03E75) Operations and polynomials in algebraic structures, primal algebras (08A40) Many-valued logic (03B50)

Related Items (2)

Precomplete clones on infinite sets which are closed under conjugation ⋮ All creatures great and small

Cites Work

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• Large intervals in the clone lattice
• The set of maximal closed classes of operations on an infinite set \(A\) has cardinality \(2^{2| A|}\)
• The maximal clones on countable sets that include all permutations.
• Some maximal closed classes of operations on infinite sets
• A new version of the proof of completeness criterion for k-valued logic functions
• Norms on possibilities. I. Forcing with trees and creatures
• Clones on regular cardinals

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