Cristina Villanueva-Segovia

collaborators

2 papers

math.CA2026

More on dominated and microscopic sets

Ondřej Zindulka, Piotr Nowakowski, Cristina Villanueva-Segovia

Let $S$ be a family of sequences decreasing to zero. A set $E$ in a metric space is $S$ -dominated if, for every $s \in S$ , there exists a countable cover ${E_{n}}$ of $E$ such that…

math.GT2026

Plane separating continua inscribe rectangles

Ulises Morales-Fuentes, Cristina Villanueva-Segovia

We prove the following: If $X$ is a plane separating continuum, then every embedding of $X$ into $R^{2}$ contains the vertices of a Euclidean rectangle. We arrive to this re…