We consider properties of broadly understood measurable spaces that provide the preservation of maximality when ultrafilters are restricted to filters of the corresponding subspace. We study conditions that guarantee the convergence of images of ultrafilters consisting of open sets under continuous mappings.
Translated title of the contributionOn the structure of ultrafilters and properties related to convergence in topological spaces
Original languageRussian
Pages (from-to)250-267
Number of pages18
JournalТруды института математики и механики УрО РАН
Volume20
Issue number2
Publication statusPublished - 2014

    GRNTI

  • 27.00.00 MATHEMATICS

    Level of Research Output

  • VAK List

ID: 6397600