On the character and \(\pi\)-weight of homogeneous compacta.
type: Item
instance of: scholarly article
title: On the character and \(\pi\)-weight of homogeneous compacta.
zbMATH Open document ID: 1039.54003
DOI: 10.1007/BF02773072
author: Jan van Mill
published in: Israel Journal of Mathematics
publication date: 2003-01-01T00:00:00Z
review text: The following results are noted in this paper. Under GCH, \(\chi(X) \leq \pi(X)\) for every homogeneous compactum \(X\). Also CH implies that a homogeneous compactum of countable \(\pi\)-weight is first countable. The main theorem proved by the author is that there is in ZFC a compact space with countable \(\pi\)-weight and character \(\omega_1\) which is homogeneous under MA + \(\neg\) CH, but not under CH. The last section of the paper is informative and contains a discussion on examples of homogeneous compacta.
reviewed by: T. Thrivikraman
Mathematics Subject Classification ID: 54A25
Mathematics Subject Classification ID: 54D70
Mathematics Subject Classification ID: 03E50
Mathematics Subject Classification ID: 54A35
zbMATH DE Number: 1910274
zbMATH Keywords: homogeneous compactum
zbMATH Keywords: character
zbMATH Keywords: weight
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1910274