Grzegorz Plebanek







My research

Recent problems (with NCN)

Letter of Complaint

Recent preprints

  • with Jakub Rondos and Damian Sobota, Complemented subspaces of C(K x L), preprint 2024, arXiv.org

Unpublished preprints

  • with Menachem Magidor, On Boolean algebras with strictly positive measures , preprint (2018), arXiv.org
  • A normal measure on a compact connected space, preprint (2014), arXiv.org
  • with David H. Fremlin, Independence--precalibers of measure algebras, preprint (2004)

Publications since 2000 (reverse order)

  1. A survey on topological properties of P(K) spaces, Japan. J. Math published online ; previous version on arXiv.org
  2. with Maciej Korpalski, Countable discrete extensions of compact lines, Fund. Math. 265 (2024), no. 1, 75--93; see also arXiv.org
  3. with Witold Marciszewski and Krzysztof Zakrzewski, Digging into the classes of kappa-Corson compact spaces , Israel J. Math., to appear; see also arXiv.org
  4. with Alberto Salguero Alarcon, The complemented subspace problem for C(K)-spaces: A counterexample, Advances Math. 426 (2023), Paper No. 109103, 20 pp. ; see also arXiv.org
  5. Musing on Kunen's compact L-space, Topology Appl. 323 (2023), Paper No. 108294, 10 pp; see also arXiv.org
  6. with Antonio Aviles and Gonzalo Martinez-Cervantes, Abundance of independent sequences in compact spaces and Boolean algebras, Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. RACSAM 116 (2022), no. 2, Paper No. 91, 19 pp; see also arXiv.org
  7. wit Alberto Salguero Alarcon, On the three space property for C(K) spaces, J. Funct. Anal. 281 (2021), no. 9, Paper No. 109193, 15 pp.
  8. Monolithic spaces of measures, Fundamenta Mathematicae 254 (2021); see also arXiv.org
  9. with Felix Cabello Sanchez, Jesus M.F. Castillo, Witold Marciszewski and Alberto Salguero-Alarcon, Sailing over three problems of Koszmider , Journal of Functional analysis 279 (2020), no. 4; see also arXiv.org
  10. with Antonio Aviles and Witold Marciszewski, Twisted sums of c_0 and C(K)-spaces: A solution to the CCKY problem, Advances in Mathematics 369 (2020); see also arXiv.org
  11. with Antonio Aviles, Gonzalo Martinez-Cervantes and Stevo Todorcevic, On fragmentable compact lines, Mediterr. J. Math. 16 (2019), no. 3, Art. 65, 8 pp., see also arXiv.org
  12. with H. Garth Dales, Hyper-Stonean envelopes of compact spaces, Studia Math. 246 (2019), 31–46; see also
  13. with Gonzalo Martinez-Cervantes, The Mardesic conjecture and free products of Boolean algebras, Proc. Amer. Math. Soc. 147 (2019), 1763–1772; see also arXiv.org
  14. with Anotnio Aviles and Jose David Rodriguez Abellan, Chain conditions in free Banach lattices, J. Math. Anal. Appl. 465 (2018), 1223-1229; see also arXiv.org.
  15. with Witold Marciszewski, Extensions operators and twisted sums of c_0 and C(K) spaces, J. Funct. Anal. 274 (2018), 1491-1529; see also arXiv.org
  16. with Antonio Aviles and Gonzalo Martinez-Cervantes, Weakly Radon-Nikodym Boolean algebras and independent sequences, Fund. Math. 241 (2018), 45-66; see arXiv.org
  17. with Antonio Aviles, On disconnected images of connected spaces, Topology Appl. 228 (2017), 108-124; see arXiv.org
  18. with Antonio Aviles, A Little Ado about Rectangles, Amer. Math. Monthly 124 (2017), 345–350.
  19. with Antonio Aviles and Jose Rodriguez, Tukey classification of some ideals in N and the lattices of weakly compact sets in Banach spaces, Advances Math. 310 (2017), 696-758; see also arXiv.org
  20. with Menachem Magidor, On properties of compacta that do not reflect in small continuous images, Topology Appl. 220 (2017), 131-139; see also arXiv.org and slides for 2016 Bedlewo conference.
  21. with Piotr Drygier, Compactifications of omega and the Banach space c_0, Fund. Math. 237 (2017), 165-186; see arXiv.org
  22. with Piotr Borodulin-Nadzieja, Measures on Suslinean spaces, Fund. Math. 235 (2016), 287-302; see arXiv.org
  23. with S. Gabriyelyan and J. Kakol, The Ascoli property for function spaces and the weak topology of Banach and Fréchet spaces, Studia Math. 233 (2016), 110-139.
  24. with Piotr Drygier, Nonseparable growth of the integers supporting a measure, Topology Appl. 191( 2015), 58-64; see also arXiv.org
  25. with Damian Sobota, Countable tightness in the spaces of regular probability measures, Fund. Math. 229 (2015), 159-169; see also arXiv.org
  26. with Piotr Borodulin-Nadzieja and Barnabas Farkas, Representations of ideals in Polish groups and in Banach spaces, J. Sym. Logic 80 (2015), 1268-1289, see also arXiv.org
  27. On isomorphisms of Banach spaces of continuous functions, Israel J. Math.209 (2015), 1-13, see also arXiv.org
  28. with Witold Marciszewski, On Borel structures in the Banach space C(\beta\omega), J. Functional Analysis 266 (2014), 4026-4036, see arXiv.org
  29. with Antonio Aviles and Jose Rodriguez, A weak* separable C(K)* space whose unit ball is not weak* separable, Trans. Amer. Math.Soc. 366 (2014), 4733-4753; PDF available on request.
  30. On positive embeddings of C(K) spaces, Studia Math. 216 (2013), 179-192; PDF available on request.
  31. with Antonio Aviles and Jose Rodríguez, On Baire measurability in spaces of continuous functions, J. Math. Anal. Appl 398 (2013), 230-238; PDF available on request.
  32. with Antonio Aviles and Jose Rodríguez, Measurability in C(2^kappa) and Kunen cardinals, Israel J. Math. 195 (2013), 1-30; see arXiv.org
  33. with Witold Marciszewski, On measures on Rosenthal compacta, J. Math. Anal. Appl. 385 (2012), 185-193; PDF available on request.
  34. with Mikolaj Krupski, A dichotomy for the convex spaces of probability measures , Topology Appl. 158 (2011), 2184-2190; PDF available on request
  35. with Antonio Aviles and Jose Rodriguez, The McShane integral in weakly compactly generated spaces, J. Functional Analysis 259 (2010), 2776-2792; PDF available on request
  36. with Witold Marciszewski, On Corson compacta and embeddings of C(K) spaces, Proc. Amer. Math. Soc. 138 (2010), 4281-4289; PDF available on request
  37. with Piotr Borodulin-Nadzieja, On sequential properties of Banach spaces, spaces of measures and densities, Czechoslovak Math. J. 60 (2010), 381-399
  38. with Mirna Džamonja, Strictly positive measures on Boolean algebras, J. Sym. Logic 73 (2008), 1416--1432
  39. with Mirna Dzamonja, On Efimov spaces and Radon measures Topology Appl. 154 (2007), 2063--2072
  40. with P. Borodulin-Nadzieja, On compactness of measures on Polish spaces, , Illinois. J. Math. 49/2 (2005), 531-545
  41. with Mirna Džamonja, Precalibre pairs of measure algebras, Topology Appl. 144 (2004), 67-94
  42. A construction of a Banach space C(K) with few operators, Topology Appl. 143 (2004), 217--239
  43. with Mirna Dzamonja, Generalisations of epsilon-density, Acta Univ. Carolinae Math. Phys. 44 (2003), 57--64
  44. with David H. Fremlin, Large families of mutually singular Radon measures, Bull. Pol. Acad. Sci. 51 (2003), 169--174
  45. On compact spaces carrying Radon measures of large Maharam type, Acta Univ. Carolinae 43 (2002), 87--99
  46. Convex Corson compacta and Radon measures, Fund. Math. 175(2002), 143-154
  47. A separable perfect noncompact measure, Bull. Pol. Acad. Sci. 49 (2001), 285--289
  48. A. Blass, R. Frankiewicz, C. Ryll--Nardzewski, A Note on Extensions of Asymptotic Density, Proc. Amer. Math. Soc. 129 (2001), 3313--3320.
  49. with R. Frankiewicz, C. Ryll--Nardzewski, Between Lindelof property and countable tightness, Proc. Amer. Math. Soc. 129 (2001), 97--103.
  50. Approximating Radon measures on first--countable compact spaces, Colloq. Math. 86 (2000), 15--23

Slides

Przestrzenie Banacha (9FMP), Katowice 2024
Methods in Banach spaces, Badajoz 2024
36th SumTopo, Vienna 2022
IWOTA, Krakow 2022
  • Weakly compact sets in separable Banach spaces (SumTopo NY, January, 2014) slides
  • A survey on small measures on compact spaces and Boolean algebras (Hejnice, January, 2014) slides
  • On isomorphisms and embeddings of Banach spaces of continuous functions (Warsaw, July 2013) slides
  • On isomorphisms and embeddings of C(K) spaces (Hejnice, January 2013) slides
  • O przestrzeniach Banacha i algebrach Boole'a (minikonferencja dla doktorantow, pazdziernik 2012) slides
  • Half-filling families of finite sets (workshop at ESSLLI in Ljubljana, 2011) slides
  • Baire measurability in some C(K) spaces (Edinburgh 2011) slides.
  • A dichotomy for the spaces of measures (Castro Urdiales 2011) slides.
  • Baire measurability in C(2^kappa) (La Manga 2011) slides.
  • Embeddings of C(K) spaces (Valencia 2010) slides.
  • Banach spaces (Paseky 2008): What isomorphisms of C(K) spaces cannot forget slides.
  • Winter School (Hejnice 2008): Measures, densities and some compactifications of omega slides.
  • Winter School (2005): Measure precalibres slides; Short history of Wroclaw slides and appendix.

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