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TOPOLOGIES OF CLOSED SUBSETS
, 1972
"... In this paper various topologies on closed subsets of a topological space are considered. 'The interrelationships between these topologies are explored, and several applications are given. The methods of proof as well as some intrinsic definitions assume a familiarity with A. Robinson's n ..."
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In this paper various topologies on closed subsets of a topological space are considered. 'The interrelationships between these topologies are explored, and several applications are given. The methods of proof as well as some intrinsic definitions assume a familiarity with A. Robinson
EACH CLOSED SUBSET OF METRIC
"... ABSTRACT. The main result is an extension theorem (Theorem 1.4) which says that every continuous map, from a closed (•5 subset of an paracompact space X with 0 = Ind X ("Ind " is the large inductive dimension) into a developable space, has a continuous extension to all of X. A corollary is ..."
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ABSTRACT. The main result is an extension theorem (Theorem 1.4) which says that every continuous map, from a closed (•5 subset of an paracompact space X with 0 = Ind X ("Ind " is the large inductive dimension) into a developable space, has a continuous extension to all of X. A corollary
Wavelets on Closed Subsets of the Real Line
 in: Topics in the Theory and Applications of Wavelets, L.L. Schumaker and
"... . We construct orthogonal and biorthogonal wavelets on a given closed subset of the real line. We also study wavelets satisfying certain types of boundary conditions. We introduce the concept of "wavelet probing ", which is closely related to our construction of wavelets. This technique al ..."
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Cited by 71 (5 self)
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. We construct orthogonal and biorthogonal wavelets on a given closed subset of the real line. We also study wavelets satisfying certain types of boundary conditions. We introduce the concept of "wavelet probing ", which is closely related to our construction of wavelets. This technique
Congruences on Closed Subsets of ... and of ...
, 1994
"... this paper are introduced below. Im f denotes the range of f 2 P (i). The functions e ..."
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this paper are introduced below. Im f denotes the range of f 2 P (i). The functions e
CLOSED SUBSETS OF THE WEYL ALCOVE AND TQFTS
, 2005
"... Abstract. For an arbitrary simple Lie algebra g and an arbitrary root of unity q, the closed subsets of the Weyl alcove of the quantum group Uq(g) are classified. Here a closed subset is a set such that if any two weights in the Weyl alcove are in the set, so is any weight in the Weyl alcove which c ..."
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Cited by 4 (3 self)
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Abstract. For an arbitrary simple Lie algebra g and an arbitrary root of unity q, the closed subsets of the Weyl alcove of the quantum group Uq(g) are classified. Here a closed subset is a set such that if any two weights in the Weyl alcove are in the set, so is any weight in the Weyl alcove which
TwoArc Closed Subsets of Graphs
, 2001
"... A subset of vertices of a graph is said to be 2arc closed if it contains every vertex that is adjacent to at least two vertices in the subset. In this paper, 2arc closed subsets generated by pairs of vertices at distance at most 2 are studied. Several questions are posed about the structure of ..."
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A subset of vertices of a graph is said to be 2arc closed if it contains every vertex that is adjacent to at least two vertices in the subset. In this paper, 2arc closed subsets generated by pairs of vertices at distance at most 2 are studied. Several questions are posed about the structure
The Space of Closed Subsets of a Convergent Sequence
"... this paper is a topological characterization of the space of closed subsets of a convergent sequence of points. The proof given here provides a ..."
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this paper is a topological characterization of the space of closed subsets of a convergent sequence of points. The proof given here provides a
SOME REMARKS ON GENERALIZATIONS OF MULTIPLICATIVELYCLOSED SUBSETS
, 2016
"... Abstract. Let R be a commutative ring with an identity, and M be a unitary Rmodule. In this paper, the concept of multiplicativelyclosed subset of R is generalized, and some properties of the generalized subsets of M are studied. Some wellknown theorems about multiplicativelyclosed subsets of R ..."
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Abstract. Let R be a commutative ring with an identity, and M be a unitary Rmodule. In this paper, the concept of multiplicativelyclosed subset of R is generalized, and some properties of the generalized subsets of M are studied. Some wellknown theorems about multiplicativelyclosed subsets
RESTRICTIONS OF SMOOTH FUNCTIONS TO A CLOSED SUBSET
, 2004
"... We first provide an approach to the recent conjecture of BierstoneMilmanPaw̷lucki on Whitney’s old problem on C d extendability of functions defined on a closed subset of a Euclidean space, using the higher order paratangent bundle they introduced. For example, the conjecture is affirmative for cl ..."
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We first provide an approach to the recent conjecture of BierstoneMilmanPaw̷lucki on Whitney’s old problem on C d extendability of functions defined on a closed subset of a Euclidean space, using the higher order paratangent bundle they introduced. For example, the conjecture is affirmative
Results 1  10
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4,986