Zobrazeno 1 - 10
of 51
pro vyhledávání: '"Guzman, Osvaldo"'
Autor:
Corral, Cesar, Guzman, Osvaldo, Lopez-Callejas, Carlos, Memarpanahi, Pourya, Szeptycki, Paul, Todorcevic, Stevo
We introduce a generalization of sequential compactness using barriers on $\omega$ extending naturally the notion introduced in [W. Kubi\'{s} and P. Szeptycki, On a topological Ramsey theorem, \emph{Canad. Math. Bull.}, 66 (2023), {156}--{165}]. We i
Externí odkaz:
http://arxiv.org/abs/2309.04397
A structural analysis of construction schemes is developed. That analysis is used to give simple and new constructions of combinatorial objects which have been of interest to set theorists and topologists. We then continue the study of capturing axio
Externí odkaz:
http://arxiv.org/abs/2304.07624
We give examples of $n$-sequentially compact spaces that are not $(n+1)$-sequentially compact under several assumptions. We improve results from Kubis and Szeptycki by building such examples from $\mathfrak{b=c}$ and $\diamondsuit(\mathfrak{b})+\math
Externí odkaz:
http://arxiv.org/abs/2302.05388
We consider uncountable almost disjoint families of subsets of $\mathbb N$, the Johnson-Lindenstrauss Banach spaces $(\mathcal X_{\mathcal A}, \|\ \|_\infty)$ induced by them, and their natural equivalent renormings $(\mathcal X_{\mathcal A}, \|\ \|_
Externí odkaz:
http://arxiv.org/abs/2212.05520
We study some strong combinatorial properties of $\textsf{MAD}$ families. An ideal $\mathcal{I}$ is Shelah-Stepr\={a}ns if for every set $X\subseteq{\left[ \omega\right]}^{<\omega}$ there is an element of $\mathcal{I}$ that either intersects every se
Externí odkaz:
http://arxiv.org/abs/2206.14936
We study ultrafilters on countable sets and reaping families which are indestructible by Sacks forcing. We deal with the combinatorial characterization of such families and we prove that every reaping family of size smaller than the continuum is Sack
Externí odkaz:
http://arxiv.org/abs/2110.07945
Autor:
Guzman, Osvaldo, Kalajdzievski, Damjan
We prove that every MAD family can be destroyed by a proper forcing that preserves $P$-points. With this result, we prove that it is consistent that $\omega_{1}=\mathfrak{u}<\mathfrak{a,}$ solving a nearly 20 year old problem of Shelah and a problem
Externí odkaz:
http://arxiv.org/abs/2012.02306
Autor:
Guzmán, Osvaldo, Hrušák, Michael, Rodrigues, Vinicius de Oliveira, Todorčević, Stevo, Tomita, Artur Hideyuki
We show that all maximal almost disjoint families have pseudocompact Vietoris hyperspace if and only if $\mathsf{MA}_\mathfrak c (\mathcal P(\omega)/\mathrm{fin})$ holds. We further study the question whether there is a maximal almost disjoint family
Externí odkaz:
http://arxiv.org/abs/2004.08760
Publikováno v:
In Journal of Functional Analysis 1 December 2023 285(11)
Autor:
Guzmán, Osvaldo, Todorcevic, Stevo
Publikováno v:
In Annals of Pure and Applied Logic August-September 2023 174(8)