List of Publications by Piotr Zakrzewski
Papers
- On nonmeasurable selectors of countable group actions.
Fundamenta Mathematicae, accepted.
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- Universally meager sets, II,
Topology and its Applications 155 (2008), pp.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.
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)