List of Publications by Piotr Zakrzewski
Recent preprints
 On two consequences of CH established by Sierpiński. II (with R. Pol).
[ pdf ]
 On two consequences of CH established by Sierpiński. (with R. Pol).
[ pdf ]
Published papers
and a list of their citations
 On countably perfectly meager sets and countably perfectly null sets. (with T. Weiss), Annals of Pure and Applied Logic, Volume 175, Issue 1, Part A, January 2024.
[ pdf ]
 Bijective Proofs of Formulas with (1)^n. (with W. Guzicki), Fibonacci Quart. 60 (2022), no. 3, 262–266.
[ pdf ]
 Countably perfectly meager sets. (with R. Pol), J. Symbolic Logic
86(3) (2021), 117.
[ pdf ]
 On Mazurkiewicz's sets, thin sigmaideals of compact sets and the space of probability measures on the rationals. (with R. Pol), Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 115, 42 (2021).
[ pdf ]
 On absolutely Baire nonmeasurable functions. Georgian Mathematical Journal 26(4) (2019), 483487.
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 An example of a capacity for which all positive Borel sets are thick. (with M. Morayne and Sz. Żeberski) Bull. Sci. Math. 153 (2019), 2834.
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 On Borel maps, calibrated sigmaideals
and homogeneity. (with R. Pol) Trans. Amer. Math. Soc. 370 (2018), 89598978.
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 Combinatorics of ideals – selectivity versus density. (with A. Kwela)
Comment. Math. Univ. Carolin. 58,2 (2017), 261266.
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 On Boolean algebras related to sigmaideals
generated by compact sets. (with R. Pol)
Adv. Math. 297 (2016), 196213.
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 A characterization of the meager ideal.
Comment. Math. Univ. Carolin. 56,1 (2015) 45–50.
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 On invariant ccc sigmaideals on 2^N.
Acta. Math. Hungar. 143 (2) (2014), 367377.
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 On Borel sets belonging to every invariant ccc sigmaideal on
2^omega. Proc. Amer. Math. Soc. 141 (2013), no. 3, 10551065.
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 On Borel mappings and sigmaideals generated by closed sets.
(with R. Pol). Adv. Math. 231 (2012), no. 2, 651663.
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 On the complexity of the ideal of absolute null sets.
Ukrainian Mathematical Journal, 64 (2012), no. 2, 275276.
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 On nonmeasurable selectors of countable group actions.
Fund. Math. 202 (2009), 281294.
[ ps ]
[ pdf ]
 Universally meager sets, II,
Topology and its Applications 155 (2008), 14451449.
[ ps ]
[ pdf ]
 On the uniqueness of measure and category \sigmaideals on
2^{\omega},
Journal of Applied Analysis 13, No. 2 (2007), 249257.
[ ps ]
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 A note on weak distributivity and continuous restrictions of
Borel functions,
Acta Universitatis Carolinae  Mathematica et Physica 46(2)
(2005), 8385.
[ ps ]
 Fubini properties for filterrelated $\sigma$ideals,
Topology and its Applications 136/13 (2004), 239249.
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 On a construction of universally small sets,
Real Analysis Exchange 27(2) (2002), pp.16.
[ ps ]
 Measures on algebraictopological structures,
Handbook of Measure Theory, ed. E. Pap, Elsevier 2002, 10911130.
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 Some settheoretic aspects of measure theory,
Cubo Matematica Educacional Vol. 3, no. 2 (2001), 7588.
[ ps ]
 Measures in locally compact groups are carried by
meager sets. Journal of Applied Analysis 7(2001), no.2., 225233.
(with O. Zindulka)
[ ps ]
 Universally Meager Sets , Proc. Amer. Math. Soc. 129(2001),
no.6, 17931798.
[ ps ]
 Extending Baire Property by countably many sets ,
Proc. Amer. Math. Soc. 129(2001), no.1, 271278.
[ ps ]
 Fubini properties of ideals ,
Real Analysis Exchange 25(1999/00), no.2, 565578. (with I. Reclaw)
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 Strong Fubini properties of ideals ,
Fund. Math. 159 (1999), 135152. (with I. Reclaw)
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 The uniqueness of Haar measure and set theory ,
Coll. Math. 74 (1997), 109121.
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 Extending isometrically invariant measures
on R^{ n }  a solution to Ciesielski's query ,
Real Analysis Exchange 21 (1995/96), 582589.
[ ps ]
 Extending invariant measures on topological groups ,
in: The Proceedings of the Tenth Summer Conference on
Topology and Applications, Annals of the New York Academy of Sciences
788 (1996), 218222.
[ ps ]
 When do sets admit congruent partitions,
Quart. J. Math. Oxford (2), 45 (1994), 255265.
 The existence of
nonmeasurable sets for invariant measures, Proc. Amer.
Math. Soc. 121 (1994), 579584. (with M. Penconek)
 The existence of invariant $\sigma$finite measures
for a group of transformations, Israel J. Math. 83 (1993),
275287.
 The existence of invariant probability measures
for a group of transformations, Israel J. Math. 83 (1993),
343352.
 Strong Fubini axioms from measure extension
axioms, Comment. Math. Univ. Carolinae 33.2 (1992), 291297.
 When do equidecomposable sets have equal
measures?, Proc. Amer. Math. Soc. 113 (1991), 831837.
 Paradoxical decompositions and invariant
measures, Proc. Amer. Math. Soc. 111 (1991), 533539.
 Extensions of measures invariant
under countable groups of transformations,
Trans. Amer. Math. Soc. 326
(1991), 211226. (with A. Krawczyk)
 Extensions of isometrically invariant measures on
Euclidean spaces, Proc. Amer. Math. Soc. 110 (1990),
325331.
 Extensions of invariant ideals, Algebra
Universalis 25 (1988), 190195.
 On universal semiregular invariant measures,
Journal of Symbolic Logic 53 (1988), 11701176.
 The existence of universal invariant measures on
large sets, Fund. Math.133 (1989), 113124.

The existence of universal invariant semiregular
measures on groups, Proc. Amer. Math. Soc. 99 (1987),
507508.

On the classification of measure zero sets,
preprint (1983).
Books (in Polish)

Wykłady ze wstępu do matematyki, wprowadzenie do teorii mnogości.
Wydawnictwo Naukowe PWN, 2005. (with W. Guzicki)
 Wstęp do matematyki, zbiór zadań.
Wydawnictwo Naukowe PWN, 2005. (with W. Guzicki)
Citations