Zobrazeno 1 - 10
of 978
pro vyhledávání: '"54e35"'
Autor:
Chirvasitu, Alexandru
We prove that subhomogeneous continuous Banach bundles over compact metrizable spaces are equivalent to Hilbert bundles, while examples show that the metrizability assumption cannot be dropped completely. This complements the parallel statement for h
Externí odkaz:
http://arxiv.org/abs/2412.08094
This article provides a new approach on how to enhance data storage and retrieval in the Query By Image Content Systems (QBIC) by introducing the ${\rm NEM}_{\sigma}$ distance measure, satisfying the relaxed triangle inequality. By leveraging the con
Externí odkaz:
http://arxiv.org/abs/2411.18800
Autor:
Gutev, Valentin
The classical McShane-Whitney extension theorem for Lipschitz functions is refined by showing that for a closed subset of the domain, it remains valid for any interval of the real line. This result is also extended to the setting of locally (pointwis
Externí odkaz:
http://arxiv.org/abs/2411.17825
Autor:
Flores, Gonzalo, Jung, Mingu, Lancien, Gilles, Petitjean, Colin, Procházka, Antonín, Quilis, Andrés
We show that several operator ideals coincide when intersected with the class of linearizations of Lipschitz maps. In particular, we show that the linearization $\hat{f}$ of a Lipschitz map $f:M\to N$ is Dunford-Pettis if and only if it is Radon-Niko
Externí odkaz:
http://arxiv.org/abs/2411.08369
Autor:
Krishna, K. Mahesh
Pfender \textit{[J. Combin. Theory Ser. A, 2007]} provided a one-line proof for a variant of the Delsarte-Goethals-Seidel-Kabatianskii-Levenshtein upper bound for spherical codes, which offers an upper bound for the celebrated (Newton-Gregory) kissin
Externí odkaz:
http://arxiv.org/abs/2411.05047
Autor:
Byakuno, Takuma
We construct an isometric embedding of a bounded set in a Euclidean space into the Gromov-Hausdorff space. In particular, we can embed a bounded and connected Riemannian manifold into the Gromov-Hausdorff space by a bilipschitz map.
Externí odkaz:
http://arxiv.org/abs/2410.18442
Autor:
Reiser, Philipp, Tripaldi, Francesca
We consider the problem of preserving weighted Riemannian metrics of positive Bakry-\'Emery Ricci curvature along surgery. We establish two theorems of this type: One for connected sums, and one for surgeries along higher-dimensional spheres. In cont
Externí odkaz:
http://arxiv.org/abs/2410.18859
Autor:
Sun, Yuan
In this paper, the author first establish the connections between the selectively $k$-star-ccc properties, the chain conditions and other star-Lindel\"of properties. Secondly, some examples are presented to solve questions raised by Xuan and Song abo
Externí odkaz:
http://arxiv.org/abs/2409.15726
Autor:
Reiser, Philipp
We give new examples of manifolds that appear as cross sections of tangent cones of non-collapsed Ricci limit spaces. It was shown by Colding-Naber that the homeomorphism types of the tangent cones of a fixed point of such a space do not need to be u
Externí odkaz:
http://arxiv.org/abs/2409.11954
Autor:
Berestovskii, V. N., Nikonorov, Yu. G.
This paper is devoted to the study of the $m$-point homogeneity property for the vertex sets of polytopes in Euclidean spaces. In particular, we present the classifications of $2$-point and $3$-point homogeneous polyhedra in $\mathbb{R}^3$.
Comm
Comm
Externí odkaz:
http://arxiv.org/abs/2408.09911