An 𝜔₂-minimal Boolean algebra

Rabus, Mariusz

doi:10.1090/S0002-9947-96-01663-7

An $\omega _2$-minimal Boolean algebra
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by Mariusz Rabus PDF

Trans. Amer. Math. Soc. 348 (1996), 3235-3244 Request permission

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.

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