Cohomological dimension of locally connected compacta

Jerzy Dydak*, Akira Koyama

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)


In this paper we investigate the cohomological dimension of cohomologically locally connected compacta with respect to principal ideal domains. We show the cohomological dimension version of the Borsuk-Siecklucki theorem: for every uncountable family {Kα}αεA of n-dimensional closed subsets of an n-dimensional ANR-compactum, there exist α ≠ β such that dim(Kα ∩ Kβ) = n. As its consequences we shall investigate the equality of cohomological dimension and strong cohomological dimension and give a characterization of cohomological dimension by using a special base. Furthermore, we shall discuss the relation between cohomological dimension and dimension of cohomologically locally connected spaces.

Original languageEnglish
Pages (from-to)39-50
Number of pages12
JournalTopology and its Applications
Issue number1-3
Publication statusPublished - 2001
Externally publishedYes


  • ANR
  • Cohomological dimension
  • Cohomology locally n-connected
  • Principal ideal domain

ASJC Scopus subject areas

  • Geometry and Topology


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