Results 1  10
of
743,011
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 ..."
Abstract
 Add to MetaCart
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 ..."
Abstract
 Add to MetaCart
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. ..."
Abstract

Cited by 5 (3 self)
 Add to MetaCart
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. ..."
Abstract
 Add to MetaCart
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 ..."
Abstract
 Add to MetaCart
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
domain outside compact set
"... A reproducing kernel for a Hilbert space related to harmonic Bergman space on a ..."
Abstract
 Add to MetaCart
A reproducing kernel for a Hilbert space related to harmonic Bergman space on a
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 ..."
Abstract
 Add to MetaCart
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
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 ..."
Abstract
 Add to MetaCart
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
Orthonormal bases of compactly supported wavelets
, 1993
"... Several variations are given on the construction of orthonormal bases of wavelets with compact support. They have, respectively, more symmetry, more regularity, or more vanishing moments for the scaling function than the examples constructed in Daubechies [Comm. Pure Appl. Math., 41 (1988), pp. 90 ..."
Abstract

Cited by 2182 (27 self)
 Add to MetaCart
Several variations are given on the construction of orthonormal bases of wavelets with compact support. They have, respectively, more symmetry, more regularity, or more vanishing moments for the scaling function than the examples constructed in Daubechies [Comm. Pure Appl. Math., 41 (1988), pp
Bounding boxes for compact sets in E 2
 Journal of Formalized Mathematics
, 1997
"... Summary. We define pseudocompact topological spaces and prove that every compact space is pseudocompact. We also solve an exercise from [14] p.225 that for a topological space X the following are equivalent: • Every continuous real map from X is bounded (i.e. X is pseudocompact). • Every continuous ..."
Abstract

Cited by 47 (3 self)
 Add to MetaCart
real map from X attains minimum. • Every continuous real map from X attains maximum. Finally, for a compact set in E 2 we define its bounding rectangle and introduce a collection of notions associated with the box.
Results 1  10
of
743,011