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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Arbitrarily large continuous algebras on one generator


Authors: Jiří Adámek, Václav Koubek, Evelyn Nelson and Jan Reiterman
Journal: Trans. Amer. Math. Soc. 291 (1985), 681-699
MSC: Primary 08C05; Secondary 03E55, 06F99
DOI: https://doi.org/10.1090/S0002-9947-1985-0800258-7
MathSciNet review: 800258
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Abstract: Generation of order-continuous algebras is investigated for various concepts of continuity. For the continuity understood as the preservation of joins of countably-directed sets, arbitrarily large infinitary continuous algebras on one generator are constructed.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9947-1985-0800258-7
Keywords: Continuous algebras, unbounded generation, subtle cardinals
Article copyright: © Copyright 1985 American Mathematical Society