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).
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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.
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- Bijective Proofs of Formulas with (-1)^n. (with W. Guzicki), Fibonacci Quart. 60 (2022), no. 3, 262–266.
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- Countably perfectly meager sets. (with R. Pol), J. Symbolic Logic
86(3) (2021), 1-17.
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- On Mazurkiewicz's sets, thin sigma-ideals 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).
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- On absolutely Baire nonmeasurable functions. Georgian Mathematical Journal 26(4) (2019), 483-487.
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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), 28-34.
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- On Borel maps, calibrated sigma-ideals
and homogeneity. (with R. Pol) Trans. Amer. Math. Soc. 370 (2018), 8959-8978.
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- Combinatorics of ideals – selectivity versus density. (with A. Kwela)
Comment. Math. Univ. Carolin. 58,2 (2017), 261-266.
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- On Boolean algebras related to sigma-ideals
generated by compact sets. (with R. Pol)
Adv. Math. 297 (2016), 196-213.
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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 sigma-ideals on 2^N.
Acta. Math. Hungar. 143 (2) (2014), 367-377.
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- On Borel sets belonging to every invariant ccc sigma-ideal on
2^omega. Proc. Amer. Math. Soc. 141 (2013), no. 3, 1055-1065.
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- On Borel mappings and sigma-ideals generated by closed sets.
(with R. Pol). Adv. Math. 231 (2012), no. 2, 651-663.
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- On the complexity of the ideal of absolute null sets.
Ukrainian Mathematical Journal, 64 (2012), no. 2, 275-276.
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- On nonmeasurable selectors of countable group actions.
Fund. Math. 202 (2009), 281-294.
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- Universally meager sets, II,
Topology and its Applications 155 (2008), 1445-1449.
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- On the uniqueness of measure and category \sigma-ideals on
2^{\omega},
Journal of Applied Analysis 13, No. 2 (2007), 249-257.
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- A note on weak distributivity and continuous restrictions of
Borel functions,
Acta Universitatis Carolinae - Mathematica et Physica 46(2)
(2005), 83-85.
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- Fubini properties for filter--related $\sigma$-ideals,
Topology and its Applications 136/1-3 (2004), 239-249.
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- On a construction of universally small sets,
Real Analysis Exchange 27(2) (2002), pp.1-6.
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- Measures on algebraic-topological structures,
Handbook of Measure Theory, ed. E. Pap, Elsevier 2002, 1091-1130.
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- Some set-theoretic aspects of measure theory,
Cubo Matematica Educacional Vol. 3, no. 2 (2001), 75-88.
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- Measures in locally compact groups are carried by
meager sets. Journal of Applied Analysis 7(2001), no.2., 225-233.
(with O. Zindulka)
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- Universally Meager Sets , Proc. Amer. Math. Soc. 129(2001),
no.6, 1793-1798.
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- Extending Baire Property by countably many sets ,
Proc. Amer. Math. Soc. 129(2001), no.1, 271-278.
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- Fubini properties of ideals ,
Real Analysis Exchange 25(1999/00), no.2, 565-578. (with I. Reclaw)
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- Strong Fubini properties of ideals ,
Fund. Math. 159 (1999), 135-152. (with I. Reclaw)
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- The uniqueness of Haar measure and set theory ,
Coll. Math. 74 (1997), 109-121.
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- Extending isometrically invariant measures
on R n - a solution to Ciesielski's query ,
Real Analysis Exchange 21 (1995/96), 582-589.
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- 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), 218-222.
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- When do sets admit congruent partitions,
Quart. J. Math. Oxford (2), 45 (1994), 255-265.
- The existence of
nonmeasurable sets for invariant measures, Proc. Amer.
Math. Soc. 121 (1994), 579-584. (with M. Penconek)
- The existence of invariant $\sigma$-finite measures
for a group of transformations, Israel J. Math. 83 (1993),
275-287.
- The existence of invariant probability measures
for a group of transformations, Israel J. Math. 83 (1993),
343-352.
- Strong Fubini axioms from measure extension
axioms, Comment. Math. Univ. Carolinae 33.2 (1992), 291-297.
- When do equidecomposable sets have equal
measures?, Proc. Amer. Math. Soc. 113 (1991), 831-837.
- Paradoxical decompositions and invariant
measures, Proc. Amer. Math. Soc. 111 (1991), 533-539.
- Extensions of measures invariant
under countable groups of transformations,
Trans. Amer. Math. Soc. 326
(1991), 211-226. (with A. Krawczyk)
- Extensions of isometrically invariant measures on
Euclidean spaces, Proc. Amer. Math. Soc. 110 (1990),
325-331.
- Extensions of invariant ideals, Algebra
Universalis 25 (1988), 190-195.
- On universal semiregular invariant measures,
Journal of Symbolic Logic 53 (1988), 1170-1176.
- The existence of universal invariant measures on
large sets, Fund. Math.133 (1989), 113-124.
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The existence of universal invariant semiregular
measures on groups, Proc. Amer. Math. Soc. 99 (1987),
507-508.
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On the classification of measure zero sets,
preprint (1983).
Books (in Polish)
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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