منابع مشابه
Interpolation of -compactness and Pcf
We call a topological space κ-compact if every subset of size κ has a complete accumulation point in it. Let Φ(μ, κ, λ) denote the following statement: μ < κ < λ = cf(λ) and there is {Sξ : ξ < λ} ⊂ [κ] μ such that |{ξ : |Sξ ∩ A| = μ}| < λ whenever A ∈ [κ]. We show that if Φ(μ, κ, λ) holds and the space X is both μ-compact and λ-compact then X is κ-compact as well. Moreover, from PCF theory we d...
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ژورنال
عنوان ژورنال: Revista Matemática Complutense
سال: 1989
ISSN: 1988-2807,1139-1138
DOI: 10.5209/rev_rema.1989.v2.18076