Results 61 to 70 of about 1,323,506 (183)
Strongly bounded groups and infinite powers of finite groups
We define a group as strongly bounded if every isometric action on a metric space has bounded orbits. This latter property is equivalent to the so-called uncountable strong cofinality, recently introduced by G. Bergman.
Bridson M. R. +6 more
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Lower bounds on blocking sets [PDF]
The author obtains lower bounds for the number of elements in blocking sets in inversive and projective planes. He extends the notion of blocking sets to families of disjoint subspaces and obtains a lower bound for the number of elements in a maximal partial spread of m-spaces in projective \((2m+1)\)-space.
Bruen, A. A., Rothschild, B. L.
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Simple closed curves contained in ε-boundaries of planar sets
The ε-boundary of a set A ⊆ R2 is the set { p ∈ R2 : ρ(p,A) = ε } , where ρ is the Euclidean distance. We prove that if A,B ⊆ R2 are nonempty, connected sets, A is bounded, and 0< ε < ρ(A,B), then the ε-boundary of A contains a simple closed curve (aka a
Mikhail Patrakeev, Aleksei Volkov
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Bounds on the non-real spectrum of differential operators with indefinite weights [PDF]
Ordinary and partial differential operators with an indefinite weight function can be viewed as bounded perturbations of non-negative operators in Krein spaces.
Behrndt, Jussi +2 more
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Action Theory of Fuzzy Bornological Groups
This paper explores the action theory of fuzzy bornological groups. We investigate the scenario where a fuzzy bornological group acts on a fuzzy bornological set such that the action map is fuzzy bounded.
Anwar Imran
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A note on the relationship between three classes of operators on Riesz spaces
Following several papers in the prior literature, we study the relationship between order bounded operators, topologically bounded operators and topologically continuous operators.
Hong Liang
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Let \(S\) be a non-empty subset of \(\mathbb Z/p\mathbb Z\), where \(p\) is an odd prime. We call \(S\) \textit{balanced} if for every \(x \in S\) there are distinct elements \(y, z \in S\) such that \(x = (y+z)/2\). This is a curious condition that arises in combinatorial game theory but appears to be of independent interest.
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Proximinality in geodesic spaces
Let X be a complete CAT(0) space with the geodesic extension property and Alexandrov curvature bounded below. It is shown that if C is a closed subset of X, then the set of points of X which have a unique nearest point in C is Gδ and of the second Baire ...
A. Kaewcharoen, W. A. Kirk
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A set ${\cal A}$ of nonnegative integers is called a $B_h$-set if every solution to\(a_1+\dots+a_h = b_1+\dots+b_h\), where $a_i,b_i \in {\cal A}$,has $\{a_1,\dots,a_h\}=\{b_1,\dots,b_h\}$ (as multisets). Let $\gamma_k(h)$ be the $k$-th positive element of the greedy $B_h$-set.
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New bounds for contagious sets
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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