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- W130607857 abstract "This chapter presents an introduction to the space βω, that is, the Stone space of the Boolean algebra P(ω) of subsets of ω. The results about βω usually have wide applications in various parts of mathematics. The following facts are the most important results obtained in βω in recent years: (1) it is consistent that P-points do not exist in βω/ω, (2) some but not all points in βω/ω are weak P-points, and (3) every point in βω/ω is a c-point. The space βω is a monster having three heads. If one works in a model in which the Continuum Hypothesis (CH) holds, then one will see only the first head. This head is smiling, friendly, and makes one feel comfortable working with βω. Because of the presence of the CH, transfinite inductions have length ω1, and because of the special properties of the Boolean algebras under consideration, one can always continue the transfinite inductions until stage ω1." @default.
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- W130607857 date "1984-01-01" @default.
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- W130607857 title "An Introduction to βω" @default.
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- W130607857 doi "https://doi.org/10.1016/b978-0-444-86580-9.50014-8" @default.
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