Irredundant sets in Boolean algebras-Reference-Cited by-同舟云学术

Irredundant sets in Boolean algebras

Published:1993 Issue:1 Volume:339 Page:35-44
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Todorčević Stevo

Abstract

It is shown that every uncountable Boolean algebra A A contains an uncountable subset I I such that no a a of I I is in the subalgebra generated by I ∖ { a } I\backslash \{ 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 (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1993-339-01/S0002-9947-1993-1080736-3/S0002-9947-1993-1080736-3.pdf

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4. A note on irredundant sets;Heindorf, Lutz;Algebra Universalis,1989

5. Lectures in Mathematics ETH Z\"{u}rich;Monk, J. Donald,1990

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