A. Verjovsky

works on

adelic loop groups 1 factorization theorems 1 holomorphic vector bundles 1 perfectoid geometry 1 solenoidal geometry 1

From the 1 of 11 linked papers with an AI index.

activity

20242026

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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…

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

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