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Displaying 41 – 60 of 239

Compactifying a convergence space with functions.

André, Robert P. (1996)

International Journal of Mathematics and Mathematical Sciences

Compact-like properties in hyperspaces

J. Angoa, Y. F. Ortiz-Castillo, Á. Tamariz-Mascarúa (2013)

Matematički Vesnik

Connectivity properties in hyperspaces and product spaces

Charles Dorsett (1984)

Fundamenta Mathematicae

Consonance and Cantor set-selectors

Valentin Gutev (2013)

Open Mathematics

It is shown that every metrizable consonant space is a Cantor set-selector. Some applications are derived from this fact, also the relationship is discussed in the framework of hyperspaces and Prohorov spaces.

Continua whose hyperspace is a product

Sam Nadler (1980)

Fundamenta Mathematicae

Continua with unique symmetric product

José G. Anaya, Enrique Castañeda-Alvarado, Alejandro Illanes (2013)

Commentationes Mathematicae Universitatis Carolinae

Let $X$ be a metric continuum. Let $F_{n} (X)$ denote the hyperspace of nonempty subsets of $X$ with at most $n$ elements. We say that the continuum $X$ has unique hyperspace $F_{n} (X)$ provided that the following implication holds: if $Y$ is a continuum and $F_{n} (X)$ is homeomorphic to $F_{n} (Y)$ , then $X$ is homeomorphic to $Y$ . In this paper we prove the following results: (1) if $X$ is an indecomposable continuum such that each nondegenerate proper subcontinuum of $X$ is an arc, then $X$ has unique hyperspace $F_{2} (X)$ , and (2) let $X$ be an arcwise connected...

Continuous extensions of multifunctions

H. A. Antosiewicz, A. Cellina (1977)

Annales Polonici Mathematici

Continuous selections on spaces of continuous functions

Angel Tamariz-Mascarúa (2006)

Commentationes Mathematicae Universitatis Carolinae

For a space $Z$ , we denote by $ℱ (Z)$ , $𝒦 (Z)$ and $ℱ_{2} (Z)$ the hyperspaces of non-empty closed, compact, and subsets of cardinality $\leq 2$ of $Z$ , respectively, with their Vietoris topology. For spaces $X$ and $E$ , $C_{p} (X, E)$ is the space of continuous functions from $X$ to $E$ with its pointwise convergence topology. We analyze in this article when $ℱ (Z)$ , $𝒦 (Z)$ and $ℱ_{2} (Z)$ have continuous selections for a space $Z$ of the form $C_{p} (X, E)$ , where $X$ is zero-dimensional and $E$ is a strongly zero-dimensional metrizable space. We prove that $C_{p} (X, E)$ is weakly orderable if and...

Convergence of convex functions and generalized inf-convolutive approximations. (Convergences des fonctions convexes et approximations inf-convolutives généralisées.)

Mentagui, D., El Hajioui, K. (2002)

Publications de l'Institut Mathématique. Nouvelle Série

Convergence theorems for generalized projections and maximal monotone operators in Banach spaces.

Ibaraki, Takanori, Kimura, Yasunori, Takahashi, Wataru (2003)

Abstract and Applied Analysis

Correction to the paper "On the hyperspace of subcontinua of a finite graph, I"

R. Duda (1970)

Fundamenta Mathematicae

Corrections to my paper "Investigating the ANR-property of metric spaces" (Fund. Math. 124 (1984), 243-254)

Nhu Nguyen (1992)

Fundamenta Mathematicae

Covering Properties of Continua and Mappings

Janusz J. Charatonik (2003)

Publications de l'Institut Mathématique

Decomposition of topologies on lattices and hyperspaces [Book]

Costantini C., Vitolo P. (1999)

Dimension of convex hyperspaces

M. van de Vel (1984)

Fundamenta Mathematicae

Dimension of convex hyperspaces : nonmetric case

M. Van de Vel (1983)

Compositio Mathematica

Disconnectedness properties of hyperspaces

Rodrigo Hernández-Gutiérrez, Angel Tamariz-Mascarúa (2011)

Commentationes Mathematicae Universitatis Carolinae

Let $X$ be a Hausdorff space and let $ℋ$ be one of the hyperspaces $C L (X)$ , $𝒦 (X)$ , $ℱ (X)$ or $ℱ_{n} (X)$ ( $n$ a positive integer) with the Vietoris topology. We study the following disconnectedness properties for $ℋ$ : extremal disconnectedness, being a $F^{'}$ -space, $P$ -space or weak $P$ -space and hereditary disconnectedness. Our main result states: if $X$ is Hausdorff and $F \subset X$ is a closed subset such that (a) both $F$ and $X - F$ are totally disconnected, (b) the quotient $X / F$ is hereditarily disconnected, then $𝒦 (X)$ is hereditarily disconnected. We also...

Currently displaying 41 – 60 of 239

Previous Page 3 Next

Displaying 41 – 60 of 239

Compactifying a convergence space with functions.

Compact-like properties in hyperspaces

Connectivity properties in hyperspaces and product spaces

Consonance and Cantor set-selectors

Continua whose hyperspace is a product

Continua with unique symmetric product

Continuous extensions of multifunctions

Continuous selections on spaces of continuous functions

Convergence of convex functions and generalized inf-convolutive approximations. (Convergences des fonctions convexes et approximations inf-convolutives généralisées.)

Convergence theorems for generalized projections and maximal monotone operators in Banach spaces.

Correction to the paper "On the hyperspace of subcontinua of a finite graph, I"

Corrections to my paper "Investigating the ANR-property of metric spaces" (Fund. Math. 124 (1984), 243-254)

Covering Properties of Continua and Mappings

Decomposition of topologies on lattices and hyperspaces [Book]

Dimension of convex hyperspaces

Dimension of convex hyperspaces : nonmetric case

Disconnectedness properties of hyperspaces

Ein Konvergenzsatz für eine gewisse Klasse kompakter Punktmengen.

Embedding ordered topological spaces into topological semilattices.

Embedding topological semigroups into the hyperspaces over topological groups

Currently displaying 41 – 60 of 239