Selection principles in mathematics: A milestone of open problems

Boaz Tsabani

Research output: Contribution to journalArticlepeer-review

14 Scopus citations


We survey some of the major open problems involving selection principles, diagonalizations, and covering properties in topology and infinite combinatorics. Background details, definitions and motivations are also provided.

Original languageEnglish
Pages (from-to)179-208
Number of pages30
JournalNote di Matematica
Issue number2
StatePublished - 2003
Externally publishedYes


  • Arkhangel'skiǐ property
  • Galvin-Miller strong γ property
  • Gerlits-Nagy (*) property
  • Gerlits-Nagy γ property
  • Hurewicz property
  • Infinite game theory
  • Menger property
  • Ramsey theory
  • Rothberger property
  • Sakai property
  • Selection principles


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