Zobrazeno 1 - 8
of 8
pro vyhledávání: '"Marcin Kysiak"'
Publikováno v:
Proceedings of the American Mathematical Society. 135:2975-2982
We study relationships between classes of special subsets of the reals (e.g. meager-additive sets, γ \gamma -sets, C C -sets, λ \lambda -sets) and the ideals related to the forcing notions of Laver, Mathias, Miller and Silver.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3098feb46a915616258f80b99cc54164
https://doi.org/10.1090/s0002-9939-07-08808-9
https://doi.org/10.1090/s0002-9939-07-08808-9
Autor:
Marcin Kysiak, Jan Kraszewski
Publikováno v:
Acta Mathematica Hungarica. 111:347-353
We construct a ae-ideal of subsets of the Cantor space which is productive but does not have the Weak Fubini Property. In the construction we use a combinatorial lemma which is of its own interest.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cdc3719ada835df1d049688c461db458
https://doi.org/10.1007/s10474-006-0058-0
https://doi.org/10.1007/s10474-006-0058-0
Autor:
Marcin Kysiak
Publikováno v:
Colloquium Mathematicum. 102:113-122
We present a theorem which generalizes some known theorems on the existence of nonmeasurable (in various senses) sets of the form X+Y . Some additional related questions concerning measure, category and the algebra of Borel sets are also studied. Sie
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c67e1f2c5414875b524388c25d2bbfdb
https://doi.org/10.4064/cm102-1-10
https://doi.org/10.4064/cm102-1-10
Autor:
Marcin Kysiak
Publikováno v:
Bulletin of the Polish Academy of Sciences Mathematics. 53:281-284
Let f : X → Y be a function. The function s(f) : Y → Card, defined by the formula s(f)(y) = |f−1[{y}] is called the (Banach) indicatrix of f . For f, g : X → Y , we say that f is equivalent to g, if there exists a bijection φ : X → X such
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3e59a9096eb990add324e0f0c58f8466
https://doi.org/10.4064/ba53-3-5
https://doi.org/10.4064/ba53-3-5
Autor:
Marcin Kysiak, Tomasz Weiss
Publikováno v:
Proceedings of the American Mathematical Society. 132:251-259
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c43cac28556df5b9f05d9aea2a5de454
https://doi.org/10.1090/s0002-9939-03-07026-6
https://doi.org/10.1090/s0002-9939-03-07026-6
Autor:
Marcin Kysiak
Publikováno v:
Open Mathematics. 7
We construct Bernstein sets in ℝ having some additional algebraic properties. In particular, solving a problem of Kraszewski, Rałowski, Szczepaniak and Żeberski, we construct a Bernstein set which is a < c-covering and improve some other results
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::35536398b8be9998a7135bf33feee427
https://doi.org/10.2478/s11533-009-0053-0
https://doi.org/10.2478/s11533-009-0053-0
Autor:
Marcin Kysiak, Enrico Zoli
Publikováno v:
Georgian Mathematical Journal.
We study some set-theoretic properties of Schmidt's ae-ideal on R, emphasizing its analogies and dissimilarities with both the classical ae- ideals on R of Lebesgue measure zero sets and of Baire first category sets. We highlight the strict analogy b
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0c56ca7ead147b73deafbb0cf5457775
https://doi.org/10.1515/gmj.2005.493
https://doi.org/10.1515/gmj.2005.493
Autor:
Marcin Kysiak, Tomasz Weiss
Publikováno v:
Proceedings of the American Mathematical Society; 2004, Vol. 132 Issue 1, p251, 9p