Applications of the topological representation of the pcf-structure
type: Item
instance of: scholarly article
title: Applications of the topological representation of the pcf-structure
zbMATH Open document ID: 1153.03025
author: Luís Pereira
published in: Archive for Mathematical Logic
publication date: 2008-08-18T00:00:00Z
review text: For details regarding PCF theory, reference may be made to \textit{S. Shelah}'s papers of the 1980's or his book [Cardinal arithmetic. Oxford: Clarendon Press (1994; Zbl 0848.03025)]. From the abstract: ``In this paper, the author considers simplified representation theorems in pcf-theory, and in particular he proves that if \(\aleph_\omega^{\aleph_0} > \aleph_{\omega_1}\cdot 2^{\aleph_0}\) then there are cofinally many sequences of regular cardinals such that \(\aleph_{\omega_1+1}\) is represented by these sequences modulo the ideal of finite subsets, using a topological approach to the pcf-structure.''
reviewed by: T. Thrivikraman
Mathematics Subject Classification ID: 03E04
Mathematics Subject Classification ID: 06E05
Mathematics Subject Classification ID: 54A35
Mathematics Subject Classification ID: 54D55
Mathematics Subject Classification ID: 54G12
zbMATH DE Number: 5313057
zbMATH Keywords: pcf-theory
zbMATH Keywords: pcf-topology
zbMATH Keywords: sequentiality
MaRDI profile type: Publication
full work available at URL: s00153-008-0098-y
OpenAlex ID: W2079796985
cites work: Locally-generic Boolean algebras and cardinal sequences.
cites work: Remarks on superatomic Boolean algebras
cites work: On well-generated Boolean algebras
cites work: Shelah's pcf theory and its applications
cites work: Q3471187
cites work: Q4258066
cites work: Set Theory
cites work: Superatomic Boolean algebras constructed from morasses
cites work: Q4326402
DOI: 10.1007/S00153-008-0098-Y
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description: scientific article; zbMATH DE number 5313057