| Authors: | Todorčević, Stevo | Affiliations: | Mathematical Institute of the Serbian Academy of Sciences and Arts | Title: | Irredundant sets in boolean algebras | Journal: | Transactions of the American Mathematical Society | Volume: | 339 | Issue: | 1 | First page: | 35 | Last page: | 44 | Issue Date: | 1-Jan-1993 | Rank: | M21 | ISSN: | 0002-9947 | DOI: | 10.1090/S0002-9947-1993-1080736-3 | Abstract: | It is shown that every uncountable Boolean algebra A contains an uncountable subset such that no a of is in the subalgebra generated by I\{a{ using an additional axiom of set theory. It is also shown that a use of some such axiom is necessary. |
Publisher: | American Mathematical Society |
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