A dimensional property of Cartesian product

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


We show that the Cartesian product of three hereditarily infinite-dimensional compact metric spaces is never hereditarily infinite-dimensional. It is quite surprising that the proof of this fact (and this is the only proof known to the author) essentially relies on algebraic topology.

Original languageEnglish
Pages (from-to)281-286
Number of pages6
JournalFundamenta Mathematicae
Issue number3
StatePublished - 24 Apr 2013


  • Cohomological dimension
  • Extension theory
  • Hereditarily infinite-dimensional compacta

ASJC Scopus subject areas

  • Algebra and Number Theory


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