Transactions of the American Mathematical Society

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ISSN 1088-6850(e) ISSN 0002-9947(p)

An $\omega _{2}$ -minimal Boolean algebra

Author(s): Mariusz Rabus
Journal: Trans. Amer. Math. Soc. 348 (1996), 3235-3244.
MSC (1991): Primary 03E35; Secondary 06E15, 54D80
MathSciNet review: 1357881
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Abstract: For every linear order $L$ we define a notion of $L$ -minimal Boolean algebra and then give a consistent example of an $\omega _{2}$ -minimal algebra. The Stone space $X$ of our algebra contains a point $\{*\}$ such that $X-\{*\}$ is an example of a countably tight, initially $\aleph _{1}$ -compact, non-compact space. This answers a question of Dow and van Douwen.

References:

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