Abstract
In this work, some results related to superatomic Boolean interval algebras are presented, and proved in a topological way. Let x be an uncountable cardinal. To each I\( \subseteq\)x, we can associate a superatomic interval Boolean algebra BI of cardinality x in such a way that the following properties are equivalent: (i) I\( \subseteq\)I\( \subseteq\)x, (ii) BI is a quotient algebra of BJ, and (iii) there is an homomorphism f from BJ into BI such that for every atom b of BI, there is an atom a of BJ satisfying f(a)=b. As a corollary, there are 2x isomorphism types of superatomic interval Boolean algebras of cardinality x. This case is quite different from the countable one.
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