منابع مشابه
Cardinal Invariants Above the Continuum
We prove some consistency results about b(λ) and d(λ), which are natural generalisations of the cardinal invariants of the continuum b and d. We also define invariants bcl(λ) and dcl(λ), and prove that almost always b(λ) = bcl(λ) and d(λ) = dcl(λ)
متن کاملCardinal invariants of the continuum — A survey
These are expanded notes of a series of two lectures given at the meeting on axiomatic set theory at Kyōto University in November 2000. The lectures were intended to survey the state of the art of the theory of cardinal invariants of the continuum, and focused on the interplay between iterated forcing theory and cardinal invariants, as well as on important open problems. To round off the presen...
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There is an optimal way of increasing certain cardinal invariants of the
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We prove that every compact space X is a Čech-Stone compactification of a normal subspace of cardinality at most d(X)t(X), and some facts about cardinal invariants of compact spaces.
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We examine when a space X has a zero set universal parametrised by a metrisable space of minimal weight and show that this depends on the σ-weight of X when X is perfectly normal. We also show that if Y parametrises a zero set universal for X then hL(X) ≤ hd(Y ) for all n ∈ N. We construct zero set universals that have nice properties (such as separability or ccc) in the case where the space ha...
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ژورنال
عنوان ژورنال: Annals of Pure and Applied Logic
سال: 1995
ISSN: 0168-0072
DOI: 10.1016/0168-0072(95)00003-y