Cover Image

On Hadwiger's covering problem in small dimensions

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Arman, Andrii, Bondarenko, Andriy, Prymak, Andriy
Format:	Preprint
Published:	2024
Subjects:	Metric Geometry 52A20, 52A39, 52A40, 52C07, 52C17
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

On asymptotic Lebesgue's universal covering problem
by: Arman, Andrii, et al.
Published: (2025)

Convex bodies of constant width with exponential illumination number
by: Arman, Andrii, et al.
Published: (2023)

On a Gallai-type problem and illumination of spiky balls and cap bodies
by: Arman, Andrii, et al.
Published: (2024)

Hadwiger's conjecture for cap bodies
by: Arman, Andrii, et al.
Published: (2025)

Spherical coverings and X-raying convex bodies of constant width
by: Bondarenko, A., et al.
Published: (2020)

Small Volume Bodies of Constant Width with Tetrahedral Symmetries
by: Arman, Andrii, et al.
Published: (2024)

Illumination number of 3-dimensional cap bodies
by: Arman, Andrii, et al.
Published: (2025)

On separability in discrete geometry
by: Bezdek, Károly, et al.
Published: (2024)

Small volume bodies of constant width
by: Arman, Andrii, et al.
Published: (2024)

Hadwiger's problem for bodies with enough sub-Gaussian marginals
by: Galicer, Daniel, et al.
Published: (2023)

Godbersen's conjecture for locally anti-blocking bodies
by: Sadovsky, Shay
Published: (2023)

Illuminating 1-unconditional convex bodies in ${\mathbb R}^3$ and ${\mathbb R}^4$, and certain cases in higher dimensions
by: Sun, Wen Rui, et al.
Published: (2024)

Affine Quermassintegrals and Even Minkowski Valuations
by: Hofstätter, Georg C., et al.
Published: (2024)

On the illumination of 1-symmetric convex bodies
by: Sun, Wen Rui, et al.
Published: (2024)

Covering spiky annuli by planks
by: Ambrus, Gergely, et al.
Published: (2025)

On the volume of the Minkowski sum of zonoids
by: Fradelizi, Matthieu, et al.
Published: (2022)

The extremals of the Kahn-Saks inequality
by: van Handel, Ramon, et al.
Published: (2023)

Translation invariant area measures on convex bodies
by: Knoerr, Jonas
Published: (2026)

Convex polytopes in restricted point sets in $\mathbb{R}^d$
by: Bukh, Boris, et al.
Published: (2022)

Valuations in affine convex geometry
by: Henkel, Jakob, et al.
Published: (2023)

Smooth valuations on convex bodies and finite linear combinations of mixed volumes
by: Knoerr, Jonas
Published: (2023)

Vertex generated polytopes
by: Artstein-Avidan, Shiri, et al.
Published: (2024)

The $L_p$ Minkowski problems on affine dual quermassintegrals
by: Lin, Youjiang, et al.
Published: (2025)

On a generalization of Godbersen's conjecture
by: Kotrbatý, Jan
Published: (2025)

On the edge densities of normal, convex mosaics
by: Kadlicskó, Máté, et al.
Published: (2023)

On the Many Faces of Easily Covered Polytopes
by: Florentin, Dan I., et al.
Published: (2024)

A note on the affine plank conjecture
by: Bakaev, Egor, et al.
Published: (2026)

Dimension-free estimates for covering functionals of simplices and $\ell_p$ balls
by: Chen, Feifei, et al.
Published: (2026)

Boundary restricted Brunn-Minkowski inequalities
by: Artstein-Avidan, Shiri, et al.
Published: (2023)

On the monotonicity of weighted perimeters of convex bodies
by: Saracco, Giorgio, et al.
Published: (2023)

From Circles to Convex Bodies: Approximating Curved Shapes by Polytopes
by: Hoehner, Steven
Published: (2025)

The $L_p$ dual Minkowski problem for unbounded closed convex sets
by: Ai, Wen, et al.
Published: (2024)

Canal Classes and Cheeger Sets
by: Lombardi, Nico, et al.
Published: (2024)

Inequalities for sections and projections of log-concave functions
by: Tziotziou, Natalia
Published: (2025)

Mixed Christoffel-Minkowski problems for bodies of revolution
by: Brauner, Leo, et al.
Published: (2025)

The Klain approach to zonal valuations
by: Brauner, Leo, et al.
Published: (2024)

An example of an "unlinked" set of $2k + 3$ points in $2k$-space
by: Starkov, M.
Published: (2024)

One polytope fits all: Characterization of the Euclidean ball via simultaneous intrinsic volume approximation
by: Hoehner, Steven
Published: (2026)

The Complex Illumination Problem
by: Rotem, Liran, et al.
Published: (2024)

Lower Bound on Translative Covering Density of Tetrahedra
by: Li, Yiming, et al.
Published: (2022)