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Dana Bartosova

Department of Mathematics

Publications

Published or accepted

  1. Universal minimal flows of extension of and by compact groups. Published online in Ergodic Theory and Dynamical Systems on August 4, 2022.
  2. (with Jordi Lopez-Abad, Martino Lupini, and Brice R. Mbombo) The Ramsey property for Operator spaces and noncommutative Choquet simplices. J. Funct. Anal. 281 (9) (2021).
  3. (with Jordi Lopez-Abad, Martino Lupini, and Brice Mbombo) The Ramsey property for Grassmanians over R, C.  Combinatorica (2021).
  4. (with Jordi Lopez-Abad, Martino Lupini, and Brice Mbombo) The Ramsey property for Banach spaces and Choquet simplices.  J. Eur. Math. Soc. (2021.)
  5. (with Andy Zucker) Fraïssé structures and a conjecture of Furstenberg. Comment. Math. Univ. Carolin. vol. 60, no. 1 (2019), pp. 1-24.
  6. (with Aleksandra Kwiatkowska) The universal minimal flow of the group of homeomorphisms of the Lelek fan. Trans. Amer. Math. Soc. (2018).
  7. (with Jordi Lopez-Abad, Martino Lupini, and Brice Mbombo) The Ramsey property for Banach spaces, Choquet simplices, and their noncommutative analogs. Comptes Rendus Mathématique 355 (2017), no. 12.
  8. (with Aleksandra Kwiatkowska) Gowers’ Ramsey Theorem with multiple operations and dynamics of the homeomorphism group of the Lelek fan. Journal of Combinatorial Theory, Series A, Volume 150, 2017, 108-136.
  9. (with Aleksandra Kwiatkowska) Lelek fan from a projective Fraïssé limit. Fund. Math. 231 (2015), 57-79.
  10. More universal minimal ows of groups of automorphisms of uncountable structures. Asymptotic Geometric Analysis. Proceedings of the Fall 2010 Fields Institute Thematic Program. (Monika Ludwig, Vitali Milman, Vladimir Pestov, Nicole Tomczak-Jaegermann, editors), Fields Institute Communications 68, Springer-Verlag (2013).
  11. Universal minimal flows of groups of automorphisms of uncountable structures. Canadian Mathematical Bulletin, Published electronically on July 27, 2012.
  12. (with Klass Pieter Hart, Logan Hoehn, and Berd van der Steeg) Lelek’s problem is not a metric problem. Topology Appl., 158(18):2479-2484 (2011).

Submitted

  1. (with Lynn Scow) An new perspective on semi-retractions and the Ramsey property.
  2. (with Mirna Džamonja, Rehana Patel, and Lynn Scow) Big Ramsey degrees in ultraproducts of finite structures.

Preprints.

  1. Ramsey property for Boolean algebras with ideals and P(ω)/fin.
  2. Universal minimal flow in the language of near ultrafilters and its applications.