1 citations · 1 across the 11 of their papers we have counts for
14 papers
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…
A Constructive Cubical Realization of -Dimensional Smooth Knots Inside the Menger -continuum
Juan Pablo Díaz, Gabriela Hinojosa, Alberto Verjovsky
We prove that every smooth -dimensional knot in can be ambiently isotoped into the Menger -dimensional continuum. In contrast with classical embedding theo…
Minimal area of the spun trefoil knot on the canonical cubulation of
Ana Baray, Juan José Catalán, Gabriela Hinojosa +1
We say that a \emph{cubical 2-knot} is an embedding of the 2-sphere in the 2-skeleton of the canonical cubulation of ; in particular, is the union of…
-dimensional beaded necklaces and higher dimensional wild knots, invariant by a Schottky group
Gabriela Hinojosa, Alberto Verjovsky, Juan Pablo Díaz
Starting with a smooth, non-trivial -dimensional knot $K\subset\bS^{n+2}$, and a beaded -dimensional necklace subordinated to , we construct a wild knot with a Cantor set…
Cubulated moves for 2-knots
Juan Pablo Díaz, Gabriela Hinojosa, Alberto Verjovsky
In this paper, we prove that given two cubical links of dimension two in , they are isotopic if and only if one can pass from one to the other by a finite sequence o…
Topological surfaces as gridded surfaces in geometrical spaces
Juan Pablo Díaz, Gabriela Hinojosa, Alberto Verjovsky
In this paper we study topological surfaces as gridded surfaces in the 2-dimensional scaffolding of cubic honeycombs in Euclidean and hyperbolic spaces.