Diagonalizations of dense families

Maddalena Bonanzinga, Filippo Cammaroto, Bruno Antonio Pansera, Boaz Tsaban

Research output: Contribution to journalArticlepeer-review

18 Scopus citations


We develop a unified framework for the study of classic and new properties involving diagonalizations of dense families in topological spaces. We provide complete classification of these properties. Our classification draws upon a large number of methods and constructions scattered in the literature, and on several novel results concerning the classic properties.

Original languageEnglish
Pages (from-to)12-25
Number of pages14
JournalTopology and its Applications
Issue number1
StatePublished - 15 Mar 2014


  • (, D)
  • (, D)
  • (D, D)
  • (D, D)
  • (O, D)
  • (O, D)
  • (O, O)
  • (O, O)
  • 1-tiny sequence
  • C″
  • Dense families
  • Hurewicz property
  • M-separable
  • Menger property
  • R-separable
  • Rothberger property
  • S1(D,D)
  • S1(O,D)
  • SS
  • Selection principles
  • Selectively c.c.c.
  • Selectively separable
  • Sfin(D,D)
  • Tiny sequence
  • Weakly
  • Weakly Hurewicz
  • Weakly Menger
  • Weakly Rothberger


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