Results 41 to 50 of about 743,734 (173)
Locally unknotted spines of Heegaard splittings
, 2004 We show that under reasonable conditions, the spines of the handlebodies of a strongly irreducible Heegaard splitting will intersect a closed ball in a graph which is isotopic into the boundary of the ball.
Cerf, Jesse Johnson
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Bishop-Phelps-Bolloba's theorem on bounded closed convex sets [PDF]
, 2014 This paper deals with the \emph{Bishop-Phelps-Bollob\'as property} (\emph{BPBp} for short) on bounded closed convex subsets of a Banach space $X$, not just on its closed unit ball $B_X$.
Cho, Dong Hoon, Yun Sung Choi
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Fixed Points Results in G-Metric Spaces
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2019 In this paper, the concept of contraction mapping on a -metric space is extended with a consideration on local contraction. As a result, two fixed point theorems were proved for contraction on a closed ball in a complete -metric space.
Salwa Salman Abed, Anaam Neamah Faraj
doaj +1 more source
On differentiable compactifications of the hyperbolic space [PDF]
, 2005 The group of direct isometries of the real n-dimensional hyperbolic space is G=SOo(n,1). This isometric action admits many differentiable compactifications into an action on the closed ball.
Kloeckner, Benoit
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Metric spaces with nice closed balls and distance functions for closed sets [PDF]
Bulletin of the Australian Mathematical Society, 1987 A metric space 〈X,d〉 is said to have nice closed balls if each closed ball in X is either compact or the entire space. This class of spaces includes the metric spaces in which closed and bounded sets are compact and those for which the distance function is the zero-one metric.
openaire +1 more source
MATEC Web of Conferences, 2018 The continuous search for efficiency put forward higher requests to the machine tool for high speed and high acceleration, which makes the large-size and lightweight-designed feed drive system more likely to produce vibration during high-speed and high ...
Luo Liang +3 more
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Applied General Topology, 2003 Recently it was shown that, in a metric space, the upper Wijsman convergence can be topologized with the introduction of a new far-miss topology. The resulting Wijsman topology is a mixture of the ball topology and the proximal ball topology.
Giuseppe Di Maio +2 more
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Volumes of balls in Riemannian manifolds and Uryson width
, 2015 If $(M^n, g)$ is a closed Riemannian manifold where every unit ball has volume at most $\epsilon_n$ (a sufficiently small constant), then the $(n-1)$-dimensional Uryson width of $(M^n, g)$ is at most 1.Comment: 26 ...
Guth, Larry
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A solution to the Pompeiu problem [PDF]
, 2013 Let $f \in L_{loc}^1 (\R^n)\cap \mathcal{S}$, where $\mathcal{S}$ is the Schwartz class of distributions, and $$\int_{\sigma (D)} f(x) dx = 0 \quad \forall \sigma \in G, \qquad (*)$$ where $D\subset \R^n$ is a bounded domain, the closure $\bar{D}$ of ...
Ramm, A. G.
core
Convex sets which are intersections of closed balls
Advances in Mathematics, 2004 The authors consider, in a normed linear space \(X\), the family \({\mathcal M}\) of all intersections of closed balls, as a subset of the metric space \({\mathcal H}\) of all closed, convex and bounded sets endowed with the Hausdorff metric. They are mainly interested in (a) the stability of \({\mathcal M}\) under the closure of the vector sums, (b ...
Granero, A. S. +2 more
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