On partitioning the triples of a topological space

I. Juhász; S. Shelah

doi:10.1016/0166-8641(92)90095-H

On partitioning the triples of a topological space

I. Juhász^*
, S. Shelah

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

We prove that it is consistent with GCH (and in fact true in L) that there is a 0-dimensional T₂ topological space X of cardinality א₃ such that every partition of the triples of X into countably many pieces has a nondiscrete homogeneous set.

Original language	English
Pages (from-to)	203-208
Number of pages	6
Journal	Topology and its Applications
Volume	44
Issue number	1-3
DOIs	https://doi.org/10.1016/0166-8641(92)90095-H
State	Published - 22 May 1992
Externally published	Yes

Keywords

Partitions
nondiscrete homogeneous set

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10.1016/0166-8641(92)90095-H

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title = "On partitioning the triples of a topological space",

abstract = "We prove that it is consistent with GCH (and in fact true in L) that there is a 0-dimensional T2 topological space X of cardinality א3 such that every partition of the triples of X into countably many pieces has a nondiscrete homogeneous set.",

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author = "I. Juh{\'a}sz and S. Shelah",

year = "1992",

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AU - Shelah, S.

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On partitioning the triples of a topological space

Abstract

Keywords

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