On the cardinality and weight spectra of compact spaces, II

I. Juhász*, S. Shelah

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

Let B(κ, λ) be the subalgebra of P(κ) generated by [κ]≤λ. It is shown that if B is any homomorphic image of B(κ, λ) then either |B\ < 2λ or \B\ = |B|λ; moreover, if X is the Stone space of B then either |X| ≤ 2 or |X\ = |B| =\B|λ. This implies the existence of 0-dimensional compact T2 spaces whose cardinality and weight spectra omit lots of singular cardinals of "small" cofinality.

Original languageEnglish
Pages (from-to)91-94
Number of pages4
JournalFundamenta Mathematicae
Volume155
Issue number1
StatePublished - 1998

Keywords

  • Cardinality and weight spectrum
  • Compact space
  • Homomorphism of Boolean algebras

Fingerprint

Dive into the research topics of 'On the cardinality and weight spectra of compact spaces, II'. Together they form a unique fingerprint.

Cite this