It's proved that every separable metric space is homeomorphic to another one, where Banach fixed point theorem is true. A connected metrizable compactification is constructed, for every separable metric space in which there is no point having a compact neighbour hood.

Original languageEnglish
Pages (from-to)18-22
Number of pages5
JournalVestnik Sankt-Peterburgskogo Universiteta. Ser 1. Matematika Mekhanika Astronomiya
Issue number4
StatePublished - Oct 1991

    Scopus subject areas

  • Mathematics(all)
  • Physics and Astronomy(all)

ID: 76943525