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Wydział Matematyki, Informatyki i Mechaniki Uniwersytetu Warszawskiego

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Publications

Piotr Zakrzewski

2019

Michał Morayne, Piotr Zakrzewski and Szymon Żeberski, An example of a capacity for which all positive Borel sets are thick, Bulletin Des Sciences Mathematiques 153 2019, p. 28–34.see in PBN

2018

Roman Pol and Piotr Zakrzewski, ON BOREL MAPS, CALIBRATED σ-IDEALS, AND HOMOGENEITY, Transactions Of The American Mathematical Society 370 (12) 2018, p. 8959–8978.see in PBN

2017

Adam Kwela and Piotr Zakrzewski, Combinatorics of ideals – selectivity versus density, Commentationes Mathematicae Universitatis Carolinae 58 (2) 2017, p. 261–266.see in PBN
Piotr Zakrzewski, Indukcja pozaskończona, Delta 515 (4) 2017, p. 12.see in PBN

2016

Roman Pol and Piotr Zakrzewski, On Boolean algebras related to sigma-ideals generated by compact sets, Advances In Mathematics 297 2016, p. 196–213.see in PBN

2015

Piotr Zakrzewski, A characterization of the meager ideal, Commentationes Mathematicae Universitatis Carolinae 56 (1) 2015, p. 45–50.see in PBN

2014

Piotr Zakrzewski, On invariant ccc sigma-ideals on 2^N, Acta Mathematica Hungarica 143 (2) 2014, p. 367–377.see in PBN
Rafał Latała, Andrzej Ruciński, Paweł Strzelecki, Jacek Świątkowski, Dariusz Wrzosek and Piotr Zakrzewski (eds.), European Congress of Mathematics, Kraków, 2-7 July, 2012, European Mathematical Society Publishing House, Zurich 2014.see in PBN

2013

Piotr Zakrzewski, On Borel sets belonging to every invariant ccc sigma-ideal on 2^omega, Proceedings Of The American Mathematical Society 141 (3) 2013, p. 1055–1065.see in PBN

2012

Piotr Zakrzewski, On the complexity of the ideal of absolute null sets, Ukrainian Mathematical Journal 64 (2) 2012, p. 275–276.see in PBN
Roman Pol and Piotr Zakrzewski, On Borel mappings and sigma-ideals generated by closed sets, Advances In Mathematics 231 2012, p. 651–663.see in PBN

2009

Piotr Zakrzewski, On nonmeasurable selectors of countable group actions, Fundamenta Mathematicae 202 2009, p. 281–294.see in PBN

2008

Piotr Zakrzewski, Universally meager sets, II, Topology And Its Applications 155 (13) 2008, p. 1445–1449.see in PBN

2007

Piotr Zakrzewski, On the uniqueness of measure and category sigma-ideals on $ 2^\omega$, Journal Of Applied Analysis 13 2007, p. 249–257.see in PBN

2005

Wojciech Guzicki and Piotr Zakrzewski, Wykłady ze wstępu do matematyki, Wprowadzenie do teorii mnogości, Wydawnictwo Naukowe PWN S.A, Warszawa 2005.see in PBN
Wojciech Guzicki and Piotr Zakrzewski, Wstęp do matematyki, Zbiór zadań., Wydawnictwo Naukowe PWN S.A, Warszawa 2005.see in PBN
Piotr Zakrzewski, A note on weak distributivity and continuous restrictions of borel functions, Acta Universitatis Carolinae - Mathematica Et Physica 46 (2) 2005, p. 83–85.see in PBN

2004

Piotr Zakrzewski, Fubini properties for filter-related $sigma$-ideals, Topology And Its Applications 136 2004, p. 239–249.see in PBN

2002

Piotr Zakrzewski, On a construction of universally small sets, Real Analysis Exchange 27 (2) 2002, p. 1–6.see in PBN
Piotr Zakrzewski, Measures on algebraic-topological structures, in: Handbook on Measure Theory, E.Pap (Ed.), North Holland, Elsevier Science, Holandia 2002.see in PBN

2001

Piotr Zakrzewski, Extending Baire Property by countably many sets, Proceedings Of The American Mathematical Society 129 (1) 2001, p. 271–278.see in PBN
Piotr Zakrzewski, Universally Meager Sets, Proceedings Of The American Mathematical Society 129 (1) 2001, p. 1793–1798.see in PBN
Piotr Zakrzewski and O Zindulka, Measures in locally compact groups are carried by meager sets, Journal Of Applied Analysis 7 2001, p. 225–233.see in PBN
Piotr Zakrzewski, Some set-theoretic aspects of measure theory, Cubo 3 2001, p. 75–88.see in PBN

2000

Piotr Zakrzewski and Ireneusz Recław, Fubini properties of ideals, Real Analysis Exchange 25 (2) 2000, p. 565–578.see in PBN

1999

Piotr Zakrzewski and Ireneusz Recław, Strong Fubini properties of ideals, Fundamenta Mathematicae 159 1999, p. 135–152.see in PBN

1997

Piotr Zakrzewski, The uniqueness of Haar measure and set theory, Colloquium Mathematicum 74 1997, p. 109–121.see in PBN

1996

Piotr Zakrzewski, Extending invariant measures on topological groups, Annals Of The New York Academy Of Sciences 788 1996, p. 218–222.see in PBN

1995

Piotr Zakrzewski, Extending isometrically invariant measures on R^n - a solution to Ciesielski's query, Real Analysis Exchange 21 1995, p. 582–589.see in PBN

1994

Piotr Zakrzewski, When do sets admit congruent partitions, Quarterly Journal Of Mathematics 45 1994, p. 255–265.see in PBN
Piotr Zakrzewski and Marcin Penconek, The existence of nonmeasurable sets for invariant measures, Proceedings Of The American Mathematical Society 121 1994, p. 579–584.see in PBN

1993

Piotr Zakrzewski, The existence of invariant $\sigma$-finite measures for a group of transformations, Israel Journal Of Mathematics 83 1993, p. 275–287.see in PBN
Piotr Zakrzewski, The existence of invariant probability measures for a group of transformations, Israel Journal Of Mathematics 83 1993, p. 343–352.see in PBN

1992

Piotr Zakrzewski, Strong Fubini axioms from measure extension axioms, Commentationes Mathematicae Universitatis Carolinae 33 1992, p. 291–297.see in PBN

1991

Piotr Zakrzewski, When do equidecomposable sets have equal measures?, Proceedings Of The American Mathematical Society 113 1991, p. 831–837.see in PBN
Piotr Zakrzewski, Paradoxical decompositions and invariant measures, Proceedings Of The American Mathematical Society 111 1991.see in PBN
Adam Krawczyk and Piotr Zakrzewski, Extensions of measures invariant under countable groups of transformations, Transactions Of The American Mathematical Society 326 1991, p. 211–226.see in PBN

1990

Piotr Zakrzewski, Extensions of isometrically invariant measures on Euclidean spaces, Proceedings Of The American Mathematical Society 110 1990, p. 325–331.see in PBN

1989

Piotr Zakrzewski, The existence of universal invariant measures on large sets, Fundamenta Mathematicae 133 1989, p. 113–124.see in PBN

1988

Piotr Zakrzewski, On universal semiregular invariant measures, Journal Of Symbolic Logic 53 1988, p. 1170–1176.see in PBN
Piotr Zakrzewski, Extensions of invariant ideals, Algebra Universalis 25 1988, p. 190–195.see in PBN

1987

Piotr Zakrzewski, The existence of universal invariant semiregular measures on groups, Proceedings Of The American Mathematical Society 99 1987, p. 507–508.see in PBN