On partitioning the triples of a topological space
type: Item
instance of: scholarly article
title: On partitioning the triples of a topological space
zbMATH Open document ID: 0772.54003
DOI: 10.1016/0166-8641(92)90095-H
author: István Juhász
author: S. Shelah
published in: Topology and its Applications
publication date: 1993-02-18T00:00:00Z
review text: The authors prove the following result. Proposition A: The existence of a 0-dimensional \(T_ 2\)-space \(X\) of cardinality \(\aleph_ 3\) such that every partition of triples of \(X\) into countably many pieces has a nondiscrete homogeneous set. Proposition A is consistent with GCH. An open problem is stated: Does GCH imply Proposition A? Moreover, does ZFC imply Proposition A (in this case \(X\) is \(T_ 3\)-space)?
Mathematics Subject Classification ID: 54A25
Mathematics Subject Classification ID: 03E05
Mathematics Subject Classification ID: 03E35
zbMATH DE Number: 123576
zbMATH Keywords: cardinality
zbMATH Keywords: partition
zbMATH Keywords: nondiscrete homogeneous set
zbMATH Keywords: GCH
zbMATH Keywords: ZFC
reviewed by: Kiyoshi Iseki
MaRDI profile type: Publication
cites work: Partitioning the pairs and triples of topological spaces
cites work: Morasses, diamond, and forcing
cites work: Q3972315
full work available at URL: 0166-8641(92)90095-h
OpenAlex ID: W2074037273
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description: scientific article; zbMATH DE number 123576