尽管 发表于 2025-3-26 21:18:37

Generators of ,,+(a),sal sequence (.. : . < λ). It has the property that, for every ultrafilter . on a satisfying cf (Π a/.) = λ, it is cofinal in Π a modulo .. With the results of Section 4.5, we can prove in the second section the existence of the desired sequence (b. : λ ∈ pcf(a)) of generators..

monochromatic 发表于 2025-3-27 01:36:24

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definition 发表于 2025-3-27 06:18:20

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GROWL 发表于 2025-3-27 10:24:24

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grovel 发表于 2025-3-27 16:53:58

Ordinal Functions,. be a cardinal. If δ = ℵ., then ., and thus the Galvin-Hajnal theorem holds for the case that δ is a fixed point of the aleph function. Let us now turn to the case that δ . ℵ.. Then | δ | < ℵ., and for every regular cardinal λ with | δ | < λ < ℵ., the set a := [λ, ℵ.). is an interval of regular car

神刊 发表于 2025-3-27 18:36:11

Approximation Sequences,tic methods. Notions such as “model of ZFC” and “absoluteness of a formula” are introduced. For any infinite cardinal number Θ we define the set H(Θ) of those sets which are hereditarily of cardinality less than Θ. We will show that for all regular uncountable cardinals Θ, H(Θ) is a model of all axi

judicial 发表于 2025-3-27 22:01:11

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Self-Help-Group 发表于 2025-3-28 04:41:09

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真实的你 发表于 2025-3-28 08:46:19

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浪费物质 发表于 2025-3-28 14:18:02

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查看完整版本: Titlebook: Introduction to Cardinal Arithmetic; M. Holz,K. Steffens,E. Weitz Textbook 1999 Springer Basel AG 1999 Addition.Alephs.Arithmetic.Axiom of