Cover Image

Wild knots embedded in the Menger Sponge

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Hinojosa, Gabriela, Morales-Fuentes, Ulises, Valdez, Rogelio, Verjovsky, Alberto
Format:	Preprint
Published:	2026
Subjects:	Geometric Topology 57M30, 54H20, 30F40
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

A Constructive Cubical Realization of $n$-Dimensional Smooth Knots Inside the Menger $M^{n+2}_n$-continuum
by: Díaz, Juan Pablo, et al.
Published: (2025)

$N$-dimensional beaded necklaces and higher dimensional wild knots, invariant by a Schottky group
by: Hinojosa, Gabriela, et al.
Published: (2024)

Extensions of finitely generated Veech groups
by: Bongiovanni, Eliot
Published: (2024)

Concrete one complex dimensional moduli spaces of hyperbolic manifolds and orbifolds
by: Elzenaar, Alex, et al.
Published: (2022)

Virtual Domination of 3-manifolds III
by: Sun, Hongbin
Published: (2022)

Handlebodies of Infinite Genus and Schottky Groups
by: Basmajian, Ara, et al.
Published: (2025)

Bending parameterization of one-sided degenerated Kleinian surface groups
by: Dular, Bruno
Published: (2025)

On the biggest purely non-free conformal actions on compact Riemann surfaces and their asymptotic properties
by: Bagiński, C., et al.
Published: (2026)

Isotopy and equivalence of knots in 3-manifolds
by: Aceto, Paolo, et al.
Published: (2020)

Dual spaces of geodesic currents
by: De Rosa, Luca, et al.
Published: (2022)

Dehn filling and the knot group I: Realization Property
by: Ito, Tetsuya, et al.
Published: (2023)

Properness of the bending map
by: Lecuire, Cyril
Published: (2025)

Thurston's Bounded image theorem
by: Lecuire, Cyril, et al.
Published: (2022)

Complex Hyperbolic Elliptics Preserving Lagrangian Planes
by: Xu, Mengmeng, et al.
Published: (2026)

Dehn filling and the knot group II: Ubiquity of persistent elements
by: Ito, Tetsuya, et al.
Published: (2026)

Tame and relatively elliptic $\mathbb{CP}^1$-structures on the thrice-punctured sphere
by: Ballas, Samuel A., et al.
Published: (2021)

Graphs of Quasicircles and Quasiconformal Homeomorphisms
by: Booth, Katherine Williams, et al.
Published: (2026)

On random walks on the mapping class group
by: Hamenstädt, Ursula
Published: (2025)

On the domination of surface-group representations in $\mathrm{PU}(2,1)$
by: Barman, Pabitra, et al.
Published: (2025)

Changing topological type of compression bodies through cone manifolds
by: Elzenaar, Alex
Published: (2024)

Thurston geodesics: no backtracking and active intervals
by: Lenzhen, Anna, et al.
Published: (2024)

The Powell Conjecture for the genus-three Heegaard splitting of the $3$-sphere
by: Cho, Sangbum, et al.
Published: (2024)

Genus three Goeritz groups of connected sums of two lens spaces
by: Chen, Hao, et al.
Published: (2024)

On the Invalidity of Lemma 2.5 in our previous work on the Powell Conjecture
by: Cho, Sangbum, et al.
Published: (2024)

The intersection dual of geodesic currents
by: Martínez-Granado, Dídac, et al.
Published: (2026)

Bounding shears of spiralling triangulations on hyperbolic surfaces
by: Abadie, Marie
Published: (2025)

Klein bottles in lens spaces
by: Geiges, Hansjörg, et al.
Published: (2022)

Almost-concordance of knots in aspherical 3-manifolds
by: Stees, Ryan
Published: (2025)

Quasi-isometric embeddings for shrinking maps from surfaces into the moduli space
by: Zhang, Yibo
Published: (2025)

A lower bound on end-periodic stretch factors
by: Loving, Marissa, et al.
Published: (2025)

Simon's knot genus problem and Lewin $3$-manifold groups
by: Sánchez-Peralta, Pablo
Published: (2026)

Diagrammatic criteria for strong irreducibility of Heegaard splittings and finiteness of Goeritz groups
by: Koda, Yuya, et al.
Published: (2024)

Extensions of Veech groups I: A hyperbolic action
by: Dowdall, Spencer, et al.
Published: (2020)

Extensions of Veech groups II: Hierarchical hyperbolicity and quasi-isometric rigidity
by: Dowdall, Spencer, et al.
Published: (2021)

The twisting number of a ribbon knot is bounded below by its doubly slice genus
by: Brejevs, Vitalijs, et al.
Published: (2024)

Infinite Schottky groups and group actions on infinite type surfaces
by: Hidalgo, Rubén A.
Published: (2026)

Methods of constructing spaces with non-trivial self covers
by: Timm, Mathew
Published: (2025)

The knot meridians of (1,1)-knot complements are CTF-detected
by: Lyu, Qingfeng
Published: (2024)

Collar parameters for Teichmuller Space & Measured Foliations on a Surface Research Announcement
by: Cooper, Daryl, et al.
Published: (2024)

The handlebody group is a virtual duality group
by: Petersen, Dan, et al.
Published: (2024)