Results 1 to 10 of about 319 (17)
Equivariant absolute extensor property on hyperspaces of convex sets [PDF]
, 2014 Let G be a compact group acting on a Banach space L by means of linear isometries. The action of G on L induces a natural continuous action on cc(L), the hyperspace of all compact convex subsets of L endowed with the Hausdorff metric topology.
Jonard-Pérez, Natalia
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Baire spaces and Vietoris hyperspaces [PDF]
, 2011 We prove that if the Vietoris hyperspace CL(X) of all nonempty closed subsets of a space X is Baire, then all finite powers of X must be Baire spaces. In particular, there exists a metrizable Baire space whose Vietoris hyperspace CL(X) is not Baire. This
Cao, J, Garcia Ferreira, S, Gutev, V
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The lifting property for classes of mappings
International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 10, Page 717-722, 2000., 2000 The lifting property of continua for classes of mappings is defined. It is shown that the property is preserved under the inverse limit operation. The results, when applied to the class of confluent mappings, exhibit conditions under which the induced mapping between hyperspaces is confluent. This generalizes previous results in this topic.
Janusz J. Charatonik
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International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 11, Page 729-739, 2000., 2000 Approach uniformities were introduced in Lowen and Windels (1998) as the canonical generalization of both metric spaces and uniform spaces. This text presents in this new context of “quantitative” uniform spaces, a reflective completion theory which generalizes the well‐known completions of metric and uniform spaces. This completion behaves nicely with
Robert Lowen, Bart Windels
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Compactifying a convergence space with functions
International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 4, Page 657-666, 1996., 1995 A convergence space is a set together with a convergence structure. In this paper we discuss a method of constructing compactifications on a class of convergence spaces by use of functions.
Robert P. André
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Discussiones Mathematicae - General Algebra and Applications, 2017 In this paper, we define linear codes and cyclic codes over a finite Krasner hyperfield and we characterize these codes by their generator matrices and parity check matrices.
Atamewoue Surdive +3 more
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One‐point compactification on convergence spaces
International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 2, Page 277-282, 1994., 1993 A convergence space is a set together with a notion of convergence of nets. It is well known how the one‐point compactification can be constructed on noncompact, locally compact topological spaces. In this paper, we discuss the construction of the one‐point compactification on noncompact convergence spaces and some of the properties of the one‐point ...
Shing S. So
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Semi separation axioms and hyperspaces
International Journal of Mathematics and Mathematical Sciences, Volume 4, Issue 3, Page 445-450, 1981., 1980 In this paper examples are given to show that s‐regular and s‐normal are independent; that s‐normal, and s‐regular are not semi topological properties; and that (S(X), E(X)) need not be semi‐T1 even if (X, T) is compact, s‐normal, s‐regular, semi‐T2, and T0. Also, it is shown that for each space (X, T), (S(X), E(X)), (S(X0), E(X0)), and (S(XS0), E(XS0))
Charles Dorsett
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Hyperspace of convex compacta of nonmetrizable compact convex subspaces of locally convex spaces
, 2008 Our main result states that the hyperspace of convex compact subsets of a compact convex subset $X$ in a locally convex space is an absolute retract if and only if $X$ is an absolute retract of weight $\le\omega_1$.
Benyamini +17 more
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Lipschitz retraction of finite subsets of Hilbert spaces
, 2015 Finite subset spaces of a metric space $X$ form a nested sequence under natural isometric embeddings $X=X(1)\subset X(2)\subset\dots$. We prove that this sequence admits Lipschitz retractions $X(n)\to X(n-1)$ when $X$ is a Hilbert space.Comment ...
Kovalev, Leonid V.
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