# RNDr. Jana Blobner, Ph.D.

Èeská 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
• Presentations at conferences

• 45th Winter School on Abstract Analysis - Section Set Theory, Hejnice (February 2017), Czech Republic.
presentation

• 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, Gdañsk (July 2013), Poland.

• 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.

• 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.

• 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.