RNDr. Jana Blobner, Ph.D.

Česká verze stránky
Department of Mathematics
Faculty of Applied Science
University of West Bohemia in Pilsen
 
Room: UC-205
E-mail: blobner@kma.zcu.cz
URL: http://home.zcu.cz/~blobner/
   

About my research (research statement from January 2009)

Mathematical papers  

  • Ultrafilters and small sets, my Ph.D. thesis
  • Thin ultrafilters published in Acta Univ. Math. Carolinae
  • Ultrafilters and Two Ideals on $\omega$ WDS '06 contribution
  • More than a $0$-point published in CMUC
  • A note on I-ultrafilters and P-points published in Acta Univ. Math. Carolinae
  • Ideals and sequentially compact spaces published in Topology Proceedings
  • Description of some ultrafilters via I-ultrafilters published in Proceedings of RIMS Workshop on Combinatorial and Descriptive Set Theory
  • I-ultrafilters and summable ideals published in Proceedings of 10th Asian Logic Conference
  • Rapid ultrafilters and summable ideals preprint (a new version from June 2012)
  • The relation of rapid ultrafilters and Q-points to van der Waerden ideal published in Acta Univ. Math. Carolinae
  • Generic existence of ultrafilters on the natural numbers, joint work with J. Brendle, published in Fundamenta Mathematicae
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    Presentations at conferences  

  • 45th Winter School on Abstract Analysis - Section Set Theory, Hejnice (February 2017), Czech Republic.
    presentation Ultrafilters and divergent series (pdf file with slides to download)

  • SETTOP 2014 -- Novi Sad Conference in Set Theory and General Topology, Novi Sad (July 2014), Serbia.
    presentation Van der Waerden spaces and their relatives (pdf file with slides to download)

  • Workshop on Set Theory and its Applications to Topology, Gdańsk (July 2013), Poland.
    presentation Remarks about van der Waerden ideal (pdf file with slides to download)

  • 41st Winter School on Abstract Analysis - Section Set Theory, Hejnice (February 2013), Czech Republic.
    presentation Some remarks concerning van der Waerden ideal (pdf file with slides to download)

  • Trends in Set Theory, Warsaw (July 2012), Poland.
    contributed talk Rapid ultrafilters and summable ideals (pdf file with slides to download)

  • 6th European Congress of Mathematics, Krakow (July 2012), Poland.
    poster Almost disjointness and its generalizations (pdf file to download)

  • Logic Colloquim 2011, Barcelona (July 2011), Spain.
    contributed talk The generic existence of certain I-ultrafilters (pdf file with slides to download)

  • 3rd European Set Theory Conference, Edinburgh (July 2011), Great Britain.
    invited talk Some ideals and ultrafilters on the natural numbers (pdf file with slides to download)

  • Infinite and finite sets, Budapest (June 2011), Hungary.
    presentation Some cardinals related to analytic quotients (pdf file with slides to download)

  • 39th Winter School on Abstract Analysis - Section Set Theory, Hejnice (February 2011), Czech Republic.
    presentation Uniformity of the van der Waerden ideal (pdf file with slides to download)

  • 25th Summer Conference on Topology and its Applications, Kielce (July 2010), Poland.
    presentation Ultrafilters on N and van der Waerden ideal (pdf file with the handout version of my presentation to download)

  • BLAST 2010, Boulder (June 2010), USA.
    presentation The relation of rapid ultrafilters and Q-points to van der Waerden ideal (pdf file with the handout version of my presentation to download)

  • 38th Winter School on Abstract Analysis - Section Topology, Hejnice (February 2010), Czech Republic.
    presentation Remarks on Q-points and rapid ultrafilters (pdf file with slides to download)

  • 2nd European Set Theory Meeting, Bedlewo (July 2009), Poland.
    poster On certain I-ultrafilters and ip rich sets (pdf file with poster to download)

  • 37th Winter School on Abstract Analysis - Section Topology, Hejnice (February 2009), Czech Republic.
    presentation Some ultrafilters on natural numbers (pdf file with slides to download)

  • 10th Asian Logic Conference, Kobe (September 2008), Japan.
    presentation I-ultrafilters and summable ideals (pdf file with slides to download)

  • Workshop on Combinatorial and Descriptive Set Theory, Kyoto (August 2008), Japan.
    my talk (SC)-ultrafilters summarized some of my published and unpublished results concerning I-ultrafilters

  • Set Theory, Topology and Banach Spaces, Kielce (July 2008), Poland.
    presentation Nowhere dense sets corresponding to summable ideals (pdf file with slides to download)

  • Advances in Set-Theoretic Topology (Conference in Honour of Tsugunori Nogura on his 60th Birthday), Erice (June 2008), Italy.
    presentation Some special points in Cech-Stone compactification of natural numbers (pdf file with slides to download)

  • 36th Winter School on Abstract Analysis - Section Topology, Hejnice (January 2008), Czech Republic.
    presentation Van der Waerden spaces and some other subclasses of sequentially compact spaces (pdf file with slides to download)

  • 23rd Summer Conference on Topology and its Applications, Castellón (July 2007), Spain.
    presentation Hindman spaces and summable ultrafilters (pdf file with slides to download)

  • 1st European Set Theory Meeting, Bedlewo (July 2007), Poland.
    presentation On Sums and Products of certain I-ultrafilters (pdf file with slides to download)
    here you can download notes (with proofs) on which part of the talk was based

  • 35th Winter School on Abstract Analysis - Section Topology, Hejnice (January 2007), Czech Republic.
    my talk I-ultrafilters for ideal I on N was based on notes which you can download here

  • 10th Prague topological symposium, Prague (August 2006), Czech Republic.