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Janusz Pawlikowski [16]Jakub Pawlikowski [7]J. Pawlikowski [3]John T. Pawlikowski [2]
John Pawlikowski [1]
  1. On ideals of subsets of the plane and on Cohen reals.Jacek Cichoń & Janusz Pawlikowski - 1986 - Journal of Symbolic Logic 51 (3):560-569.
    Let J be any proper ideal of subsets of the real line R which contains all finite subsets of R. We define an ideal J * ∣B as follows: X ∈ J * ∣B if there exists a Borel set $B \subset R \times R$ such that $X \subset B$ and for any x ∈ R we have $\{y \in R: \langle x,y\rangle \in B\} \in \mathscr{J}$ . We show that there exists a family $\mathscr{A} \subset \mathscr{J}^\ast\mid\mathscr{B}$ of power ω (...)
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  2.  64
    Decomposing Borel functions and structure at finite levels of the Baire hierarchy.Janusz Pawlikowski & Marcin Sabok - 2012 - Annals of Pure and Applied Logic 163 (12):1748-1764.
    We prove that if f is a partial Borel function from one Polish space to another, then either f can be decomposed into countably many partial continuous functions, or else f contains the countable infinite power of a bijection that maps a convergent sequence together with its limit onto a discrete space. This is a generalization of a dichotomy discovered by Solecki for Baire class 1 functions. As an application, we provide a characterization of functions which are countable unions of (...)
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  3.  38
    Why Solovay real produces Cohen real.Janusz Pawlikowski - 1986 - Journal of Symbolic Logic 51 (4):957-968.
    An explanation is given of why, after adding to a model M of ZFC first a Solovay real r and next a Cohen real c, in M[ r][ c] a Cohen real over M[ c] is produced. It is also shown that a Solovay algebra iterated with a Cohen algebra can be embedded into a Cohen algebra iterated with a Solovay algebra.
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  4. Decomposing baire functions.J. Cichoń, M. Morayne, J. Pawlikowski & S. Solecki - 1991 - Journal of Symbolic Logic 56 (4):1273 - 1283.
    We discuss in the paper the following problem: Given a function in a given Baire class, into "how many" (in terms of cardinal numbers) functions of lower classes can it be decomposed? The decomposition is understood here in the sense of the set-theoretical union.
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  5.  63
    Finite support iteration and strong measure zero sets.Janusz Pawlikowski - 1990 - Journal of Symbolic Logic 55 (2):674-677.
    Any finite support iteration of posets with precalibre ℵ 1 which has the length of cofinality greater than ω 1 yields a model for the dual Borel conjecture in which the real line is covered by ℵ 1 strong measure zero sets.
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  6.  20
    Every Sierpiński set is strongly meager.Janusz Pawlikowski - 1996 - Archive for Mathematical Logic 35 (5-6):281-285.
  7. Q-pointness, p-pointness and feebleness of ideals.Pierre Matet & Janusz Pawlikowski - 2003 - Journal of Symbolic Logic 68 (1):235-261.
    We study the degree of (weak) Q-pointness, and that of (weak) P-pointness, of ideals on a regular infinite cardinal.
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  8.  14
    Adding Dominating Reals With $omega^omega$ Bounding Posets.Janusz Pawlikowski - 1992 - Journal of Symbolic Logic 57 (2):540-547.
  9.  29
    Adding dominating reals with ωω bounding posets.Janusz Pawlikowski - 1992 - Journal of Symbolic Logic 57 (2):540 - 547.
  10. Cohen reals from small forcings.Janusz Pawlikowski - 2001 - Journal of Symbolic Logic 66 (1):318-324.
    We introduce a new cardinal characteristic r*, related to the reaping number r, and show that posets of size $ r* which add reals add unbounded reals; posets of size $ r which add unbounded reals add Cohen reals. We also show that add(M) ≤ min(r, r*). It follows that posets of size < add(M) which add reals add Cohen reals. This improves results of Roslanowski and Shelah [RS] and of Zapletal [Z].
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  11.  17
    Biobanking of human biological material and the principle of noncommercialisation of the human body and its parts.Joanna Pawlikowska, Jakub Pawlikowski & Dorota Krekora-Zając - 2022 - Bioethics 37 (2):154-164.
    The prohibition of commercialisation of the human body and its parts is not applied consistently and suffers from many exceptions in the human biological material (HBM) market. Examples include the possibility of patenting certain HBM-derived products and their commercial marketing or payments for blood donations. Thus, the current practice of marketing HBM-derived products makes the altruistic donor most vulnerable to exploitation while being deprived of benefits. There seem to be two ways to improve this state of affairs. The first is (...)
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  12.  31
    Extending Baire property by uncountably many sets.Paweł Kawa & Janusz Pawlikowski - 2010 - Journal of Symbolic Logic 75 (3):896-904.
    We show that for an uncountable κ in a suitable Cohen real model for any family {A ν } ν<κ of sets of reals there is a σ-homomorphism h from the σ-algebra generated by Borel sets and the sets A ν into the algebra of Baire subsets of 2 κ modulo meager sets such that for all Borel B, B is meager iff h(B) = 0. The proof is uniform, works also for random reals and the Lebesgue measure, and in (...)
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  13.  21
    Ideals over ω and cardinal invariants of the continuum.P. Matet & J. Pawlikowski - 1998 - Journal of Symbolic Logic 63 (3):1040-1054.
    Let P be any one of the following combinatorial properties: weak P-pointness, weak (semi-) Q-pointness, weak (semi-)selectivity, ω-closedness. We deal with the following two questions: (1) What is the least cardinal κ such that there exists an ideal with κ many generators that does not have the property P? (2) Can one extend every ideal with the property P to a prime ideal with the property P?
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  14. Chapter 8 Conscientious Objection of Health Care Workers in the Context of Genetic Testing.Jakub Pawlikowski - 2018 - In Marta Soniewicka (ed.), The Ethics of Reproductive Genetics - Between Utility, Principles, and Virtues. Cham: Springer Verlag.
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  15.  17
    Consequences of the Complexity and Variety of Beliefs About Miracles.Jakub Pawlikowski - 2018 - American Journal of Bioethics 18 (5):71-72.
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  16.  11
    Density zero slaloms.Janusz Pawlikowski - 2000 - Annals of Pure and Applied Logic 103 (1-3):39-53.
    We construct a G δ set G ⊆ ω ω ×2 ω with null vertical sections such that each perfect set P ⊆2 ω meets almost all vertical sections of G in the following sense: we can define from P subsets S of ω of density zero such that whenever the section determined by x ∈ ω ω does not meet P , then x ∈ S for all but finitely many i . This generalizes theorems of Mokobodzki and Brendle (...)
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  17.  36
    Ewolucja koncepcji świadomej zgody w kontekście badań naukowych z użyciem ludzkiego materiału biologicznego.Jakub Pawlikowski - 2015 - Diametros 44:89-109.
    The development of research based on human biological material has contributed to a lively debate on the concept of informed consent in these studies, particularly its scope, form and length of validity. The biggest disputes and doubts concern the range of consent for research that will be conducted in the future, whose aim and place are unknown at the time of the sample collection, as are the future researchers and the ability to use the previously collected materials again. This situation (...)
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  18. Honesty Breeds Integrity.John Pawlikowski - 2001 - Dialogue and Universalism 11 (1):53-58.
  19.  13
    Mathias forcing and ultrafilters.Janusz Pawlikowski & Wojciech Stadnicki - 2016 - Archive for Mathematical Logic 55 (7-8):857-865.
    We prove that if the Mathias forcing is followed by a forcing with the Laver Property, then any V\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathsf {V}$$\end{document}-q\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathsf {q}$$\end{document}-point is isomorphic via a ground model bijection to the canonical V\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathsf {V}$$\end{document}-Ramsey ultrafilter added by the Mathias real. This improves a result of Shelah and Spinas.
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  20. Ochrona praw dawców w wybranych europejskich biobankach populacyjnych.Jakub Pawlikowski - 2012 - Diametros 32:91-109.
    Biobanki populacyjne stwarzają nowe możliwości prowadzenia badań biomedycznych oraz rozwoju medycyny personalizowanej i genomiki zdrowia publicznego. Z drugiej strony niosą wyzwania w zakresie zagwarantowania praw dawców (świadoma zgoda, zachowanie prywatności i poufności, niedyskryminacja w oparciu o dziedzictwo genetyczne). Główne wymiary, w których realizować się może ochrona praw dawców, to: właściwa komunikacja zarówno na poziomie społecznym (konsultacje społeczne) jak i indywidualnym (proces uzyskiwania świadomej zgody od dawców), odpowiednia organizacja biobanku (bezpieczny system informatyczny, kodowanie i anonimizacja danych, reguły dostępu do danych), właściwy (...)
     
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  21. Problemy etyczne i prawne związane z działalnością biobanków.Jakub Pawlikowski, Jarosław Sak & Krzysztof Marczewski - 2009 - Diametros 19:106-118.
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  22.  11
    The diamond covering property axiom.Janusz Pawlikowski - 2016 - Mathematical Logic Quarterly 62 (4-5):407-411.
    The Covering Property Axiom, which attempts to capture some of the combinatorics of the Sacks model, the model obtained from by countable support iteration of length of the Sacks forcing, seems to miss a Suslin tree. We add a diamond polish to the axiom to remedy this.
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  23.  45
    Two stars.Janusz Pawlikowski & Marcin Sabok - 2008 - Archive for Mathematical Logic 47 (7-8):673-676.
    The authors investigate an operation * on the subsets of ${\mathcal{P}(\mathbb{R})}$ . It is connected with Borel’s strong measure zero sets as well as strongly meager. The results concern the behaviour of the family of countable sets when * is applied.
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  24.  7
    Sprzeciw sumienia w praktyce medycznej: aspekty etyczne i prawne.Piotr Stanisz, Jakub Pawlikowski & Marta Ordon (eds.) - 2014 - Lublin: Wydawnictwo KUL.
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