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pro vyhledávání: '"03E05, 03E50"'
Publikováno v:
Proc. Amer. Math. Soc. 145:9, 4061-4073 (2017)
Our main result is that, given a collection $\mathcal{R}$ of meager relations on a Polish space $X$ such that $|\mathcal{R}|\leq\omega$, there exists a dense Baire subspace $F$ of $X$ (equivalently, a nowhere meager subset $F$ of $X$) such that $F$ i
Externí odkaz:
http://arxiv.org/abs/1508.00124
Autor:
Trujillo, Timothy
Associated to each ultrafilter $\mathcal{U}$ on $\omega$ and each map $p:\omega\rightarrow \omega$ is a Dedekind cut in the ultrapower $\omega^{\omega}/p( \mathcal{U})$. Blass has characterized, under CH, the cuts obtainable when $\mathcal{U}$ is tak
Externí odkaz:
http://arxiv.org/abs/1401.2835
Autor:
Machura, Michał, Starosolski, Andrzej
Under MA we prove that for the ideal $\cal I$ of thin sets on $\omega$ and for any ordinal $\gamma \leq \omega_1$ there is an ${\cal I}$-ultrafilter (in the sense of Baumgartner), which belongs to the class ${\cal P}_{\gamma}$ of P-hierarchy of ultra
Externí odkaz:
http://arxiv.org/abs/1201.1725
Autor:
Machura, Michał, Starosolski, Andrzej
Under CH we prove that for any tall ideal $\cal I$ on $\omega$ and for any ordinal $\gamma \leq \omega_1$ there is an ${\cal I}$-ultrafilter (in the sense of Baumgartner), which belongs to the class ${\cal P}_{\gamma}$ of P-hierarchy of ultrafilters.
Externí odkaz:
http://arxiv.org/abs/1108.1818
Publikováno v:
Proceedings of the American Mathematical Society, vol. 145, no. 9, pp. 4061-4073, 2017.
Our main result is that, given a collection $\mathcal{R}$ of meager relations on a Polish space $X$ such that $|\mathcal{R}|\leq\omega$, there exists a dense Baire subspace $F$ of $X$ (equivalently, a nowhere meager subset $F$ of $X$) such that $F$ i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9032f476533a5cda66bf40f99b155176
Autor:
Machura, Micha��, Starosolski, Andrzej
Under CH we prove that for any tall ideal $\cal I$ on $\omega$ and for any ordinal $\gamma \leq \omega_1$ there is an ${\cal I}$-ultrafilter (in the sense of Baumgartner), which belongs to the class ${\cal P}_{\gamma}$ of P-hierarchy of ultrafilters.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1b51b91931bc3a4eb63ea9b7ec8958db
http://arxiv.org/abs/1108.1818
http://arxiv.org/abs/1108.1818
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