IRREDUNDANT SETS IN BOOLEAN-ALGEBRAS

Authors
TODORCEVIC S
Citation
S. Todorcevic, IRREDUNDANT SETS IN BOOLEAN-ALGEBRAS, Transactions of the American Mathematical Society, 339(1), 1993, pp. 35-44
Citations number
10
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Transactions of the American Mathematical Society → ACNP
ISSN journal
00029947
Volume
339
Issue
1
Year of publication
1993
Pages
35 - 44
Database
ISI
SICI code
0002-9947(1993)339:1<35:ISIB>2.0.ZU;2-4
Abstract
It is shown that every uncountable Boolean algebra A contains an uncou ntable subset I such that no a of I 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.