G. Hinojosa

collaborators

4 papers

math.GT2026

A Constructive Cubical Realization of $n$ -Dimensional Smooth Knots Inside the Menger $M_{n}^{n + 2}$ -continuum

Juan Pablo DÃaz, Gabriela Hinojosa, Alberto Verjovsky

We prove that every smooth $n$ -dimensional knot in $R^{n + 2}$ can be ambiently isotoped into the Menger $n$ -dimensional continuum. In contrast with classical embedding theo…

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…

math.GT2025

$N$ -dimensional beaded necklaces and higher dimensional wild knots, invariant by a Schottky group

Gabriela Hinojosa, Alberto Verjovsky, Juan Pablo DÃaz

Starting with a smooth, non-trivial $n$ -dimensional knot $K\subset\bS^{n+2}$, and a beaded $n$ -dimensional necklace subordinated to $K$ , we construct a wild knot with a Cantor set…

math.GT2025

Minimal area of the spun trefoil knot on the canonical cubulation of $R^{4}$

We say that a \emph{cubical 2-knot} $K^{2}$ is an embedding of the 2-sphere in the 2-skeleton of the canonical cubulation of $R^{4}$ ; in particular, $K^{2}$ is the union of…

A Constructive Cubical Realization of n-Dimensional Smooth Knots Inside the Menger Mnn+2​-continuum

Wild knots embedded in the Menger Sponge

N-dimensional beaded necklaces and higher dimensional wild knots, invariant by a Schottky group

Minimal area of the spun trefoil knot on the canonical cubulation of R4

A Constructive Cubical Realization of $n$ -Dimensional Smooth Knots Inside the Menger $M_{n}^{n + 2}$ -continuum

$N$ -dimensional beaded necklaces and higher dimensional wild knots, invariant by a Schottky group

Minimal area of the spun trefoil knot on the canonical cubulation of $R^{4}$