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On the structure of ultrafilters and properties related to convergence in topological spaces

  • E. G. PytkeevEmail author
  • A. G. Chentsov
Article

Abstract

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.

Keywords

filter base measurable space topology ultrafilter 

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Copyright information

© Pleiades Publishing, Ltd. 2015

Authors and Affiliations

  1. 1.Institute of Mathematics and MechanicsUral Branch of the Russian Academy of SciencesYekaterinburgRussia
  2. 2.Institute of Radioelectronics and Information TechnologiesUral Federal UniversityYekaterinburgRussia

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