The A,B,C of pcf: a companion to pcf theory, Part I
英文摘要：
This is a survey paper of Shelah's pcf theory. In this part the theory is developed up to the pcf theorem.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
继续探索
相关论文
Also quite large b subseteq pcf(a) behave nicely
The present note is an answer to complains of E.Weitz on [Sh:371]. We present a corrected version of a part of chapter VIII of " Cardinal Arithmetic".
math.LO
Representability and Compactness for Pseudopowers
We prove a compactness theorem for pseudopower operations of the form $pp_{Γ(μ,σ)}(μ)$ where $\aleph_0<σ=cf(σ)\leq cf(μ)$. Our main tool is a result that has Shelah's cov vs. pp Theorem as a consequence. We also show that the failure of compactness in other situations has significant consequences for pcf theory, in particular, implying the existence of a progressive set $A$ of regular cardinals for which $pcf(A)$ has an inaccessible accumulation point.
math.LO
俱乐部猜测与普遍模型
Club guessing and the universal models
本文纠正了关于俱乐部猜测和普遍模型中定义1.1参数缺失的错误，并讨论了相关构造在证明偏序类无最大元素中的应用。
math.LO
