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LOCALLY RICH COMPACT SETS
"... Abstract. We construct a compact metric space that has any other compact metric space as a tangent, with respect to the GromovHausdorff distance, at all points. Furthermore, we give examples of compact sets in the Euclidean unit cube, that have almost any other compact set of the cube as a tangent ..."
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Abstract. We construct a compact metric space that has any other compact metric space as a tangent, with respect to the GromovHausdorff distance, at all points. Furthermore, we give examples of compact sets in the Euclidean unit cube, that have almost any other compact set of the cube as a
Chebyshev Compact Sets in the Plane
"... This paper is devoted to the study of topological properties of Chebyshev sets and suns. We consider the question posed by S.V. Konyagin. It is required to characterize all pairs X , K (where X 2 (LNN) and K is a compact set) that possess the following property: the compact set K can be homeomorphic ..."
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This paper is devoted to the study of topological properties of Chebyshev sets and suns. We consider the question posed by S.V. Konyagin. It is required to characterize all pairs X , K (where X 2 (LNN) and K is a compact set) that possess the following property: the compact set K can
Trichotomies for ideals of compact sets
 J. SYMBOLIC LOGIC
"... We prove several trichotomy results for ideals of compact sets. Typically, we show that a “sufficiently rich” universally Baire ideal is either Π 0 3hard, or Σ 0 3hard, or else a σideal. ..."
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Cited by 5 (3 self)
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We prove several trichotomy results for ideals of compact sets. Typically, we show that a “sufficiently rich” universally Baire ideal is either Π 0 3hard, or Σ 0 3hard, or else a σideal.
Harmonic Approximation on Compact Sets
, 2003
"... Abstract. Compact pairs X ⊂ Y with certain harmonic approximation properties are characterized. ..."
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Abstract. Compact pairs X ⊂ Y with certain harmonic approximation properties are characterized.
Classifiers on Relatively Compact Sets
, 1995
"... The problem of classifying signals is of interest in several application areas. Typically we are given a finite number m of pairwise disjoint sets C 1 ; : : : ; Cm of signals, and we would like to synthesize a system that maps the elements of each C j into a real number a j , such that the numbers a ..."
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The problem of classifying signals is of interest in several application areas. Typically we are given a finite number m of pairwise disjoint sets C 1 ; : : : ; Cm of signals, and we would like to synthesize a system that maps the elements of each C j into a real number a j , such that the numbers
in the Space of Compact Sets
"... Configurations in the hyperspace of all nonempty compact subsets of ndimensional real space provide a potential wealth of examples of familiar and new integer sequences. For example, Fibonaccitype sequences arise naturally in this geometry. In this paper, we introduce integer sequences that are d ..."
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Configurations in the hyperspace of all nonempty compact subsets of ndimensional real space provide a potential wealth of examples of familiar and new integer sequences. For example, Fibonaccitype sequences arise naturally in this geometry. In this paper, we introduce integer sequences
domain outside compact set
"... A reproducing kernel for a Hilbert space related to harmonic Bergman space on a ..."
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A reproducing kernel for a Hilbert space related to harmonic Bergman space on a
Convexcompact sets and Banach discs
"... Abstract Every relatively convexcompact convex subset of a locally convex space is contained in a Banach disc. Moreover, an upper bound for the class of sets which are contained in a Banach disc is presented. If the topological dual E of a locally convex space E is the σ(E , E)closure of the unio ..."
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Abstract Every relatively convexcompact convex subset of a locally convex space is contained in a Banach disc. Moreover, an upper bound for the class of sets which are contained in a Banach disc is presented. If the topological dual E of a locally convex space E is the σ(E , E
HARMONIC FUNCTIONS ON COMPACT SETS IN Rn
"... Abstract. For any compact set K ⊂ Rn we develop the theory of Jensen measures and subharmonic peak points, which form the set OK, to study the Dirichlet problem on K. Initially we consider the space h(K) of functions on K which can be uniformly approximated by functions harmonic in a neighborhood o ..."
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Abstract. For any compact set K ⊂ Rn we develop the theory of Jensen measures and subharmonic peak points, which form the set OK, to study the Dirichlet problem on K. Initially we consider the space h(K) of functions on K which can be uniformly approximated by functions harmonic in a neighborhood
On Weakly Compact Sets in LFuzzy Topological Spaces
"... Abstract: In this paper, the concept of weakly compact set in Lfuzzy topological space have been introduced. The characterization of weakly compact set are researched. Also it is pointed out that weakly compactness is an Lgood extension of usual weak compactness. ..."
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Abstract: In this paper, the concept of weakly compact set in Lfuzzy topological space have been introduced. The characterization of weakly compact set are researched. Also it is pointed out that weakly compactness is an Lgood extension of usual weak compactness.
Results 1  10
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11,771