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The Model Hypothesis (abbreviated $\mathsf{MH}$) and $\Delta$ are set-theoretic axioms introduced by J. Roitman in her work on the box product problem. Answering some questions of Roitman and Williams on these two principles, we show (1) $\mathsf{MH}
Externí odkaz:
http://arxiv.org/abs/2309.10307
Autor:
Bonive-Boscan, Alejandro David1,2 bonive@evolbio.mpg.de, Acosta, Héctor3 acostaoviedo@ibr-conicet.gov.ar, Rojas, Ascanio1
Publikováno v:
Frontiers in Parasitology. 2024, p1-10. 10p.
A space $X$ is $D$ if for every assignment, $U$, of an open neighborhood to each point $x$ in $X$ there is a closed discrete $D$ such that $\bigcup \{U(x) : x \in D\}=X$. The box product, $\square X^\omega$, is $X^\omega$ with topology generated by a
Externí odkaz:
http://arxiv.org/abs/2111.10482
Autor:
Barrig-Acosta, Hector, Dow, Alan
In this paper, we prove that in forcing extensions by a poset with finally property K over a model of GCH+$\square$, every compact sequentially compact space is weakly pseudoradial. We also prove the following assuming $\mathfrak{s}\leq \aleph_2$: (i
Externí odkaz:
http://arxiv.org/abs/2111.03783
Roitman's combinatorial principle $\Delta$ is equivalent to monotone normality of the nabla product, $\nabla (\omega +1)^\omega$. If $\{ X_n : n\in \omega\}$ is a family of metrizable spaces and $\nabla_n X_n$ is monotonically normal, then $\nabla_n
Externí odkaz:
http://arxiv.org/abs/2006.15163
We show that for any cardinal $\omega<\kappa \leq \mathfrak{c}$ with $cf(\kappa) > \omega$, there are $\mathfrak{c}$ many AD families whose $\Psi$-spaces are pairwise non-homeomorphic and they can be Luzin families or branch families of $2^\omega$.
Externí odkaz:
http://arxiv.org/abs/1806.00106
Akademický článek
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Publikováno v:
In Topology and its Applications 15 February 2019 253:1-6
Autor:
Acosta, Héctor1 (AUTHOR), Forcada, Pau2 (AUTHOR), Bonjorn, Marta2 (AUTHOR), Mustafa, Amer2 (AUTHOR), Pilares, Paul1 (AUTHOR), Colomina, Jordi1 (AUTHOR)
Publikováno v:
Case Reports in Critical Care. 10/12/2022, p1-5. 5p.
Autor:
Figueredo Acosta, Héctor1 hfigueredo@infomed.sld.cu
Publikováno v:
MEDISAN. 2022, Vol. 26 Issue 3, p144-154. 11p.