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Arbitrarily Large Continuous Algebras on One Generator
Jiří Adámek, Václav Koubek, Evelyn Nelson and Jan Reiterman
Transactions of the American Mathematical Society
Vol. 291, No. 2 (Oct., 1985), pp. 681-699
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/2000105
Page Count: 19
You can always find the topics here!Topics: Continuous algebras, Algebra, Leaves, Partially ordered sets, Induced substructures, Universal algebra, Mathematical theorems, Induction assumption, Cardinality, Plant roots
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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.
Transactions of the American Mathematical Society © 1985 American Mathematical Society