Ulises Morales-Fuentes

collaborators

2 papers

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…

math.GT2026

Wild knots embedded in the Menger Sponge

Gabriela Hinojosa, Ulises Morales-Fuentes, Rogelio Valdez +1

In this paper, we provide explicit recursive constructions of infinitely many non-equivalent wild knots contained in the Menger sponge, in such a way that we can control their set…