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Displaying 461 – 480 of 1013

Note on the Wijsman hyperspaces of completely metrizable spaces

J. Chaber, R. Pol (2002)

Bollettino dell'Unione Matematica Italiana

We consider the hyperspace $C L (X)$ of nonempty closed subsets of completely metrizable space $X$ endowed with the Wijsman topologies $τ_{W_{d}}$ . If $X$ is separable and $d$ , $e$ are two metrics generating the topology of $X$ , every countable set closed in $(C L (X), τ_{W_{e}})$ has isolated points in $(C L (X), τ_{W_{d}})$ . For $d = e$ , this implies a theorem of Costantini on topological completeness of $(C L (X), τ_{W_{d}})$ . We show that for nonseparable $X$ the hyperspace $(C L (X), τ_{W_{d}})$ may contain a closed copy of the rationals. This answers a question of Zsilinszky.

Note on universal topological completion

Rudolf-E. Hoffmann (1979)

Cahiers de Topologie et Géométrie Différentielle Catégoriques

Note sur topologie exponentielle

M. Čoban (1971)

Fundamenta Mathematicae

Notes on monotone Lindelöf property

Ai-Jun Xu, Wei-Xue Shi (2009)

Czechoslovak Mathematical Journal

We provide a necessary and sufficient condition under which a generalized ordered topological product (GOTP) of two GO-spaces is monotonically Lindelöf.

Notes on quotient maps

Otomar Hájek (1966)

Commentationes Mathematicae Universitatis Carolinae

Notes on the topologies and uniformities of hyperspaces

Giuliano Artico, Roberto Moresco (1980)

Rendiconti del Seminario Matematico della Università di Padova

Null-families of subsets of monotonically normal compacta

J. Nikiel, L. Treybig (1996)

Colloquium Mathematicae

Numerical invariants of 0-dimensional spaces and their Cartesian multiplication.

M.M. Marjanovic (1974)

Publications de l'Institut Mathématique [Elektronische Ressource]

O бикoмпaктax, лeжaщиx в $σ$ -пpoизвeдeнияx

L. V. Nakhmanson, N. N. Yakovlev (1981)

Commentationes Mathematicae Universitatis Carolinae

Obtaining inverse sequences for certain continua

J. Rogers (1977)

Fundamenta Mathematicae

On a cardinal invariant resembling the Souslin number

V. V. Tkachuk (1988)

Colloquium Mathematicae

On a certain lattice of topologies on a product of metric spaces

Jozef Doboš (1982)

Mathematica Slovaca

On a compactification of the homeomorphism group of the pseudo-arc

Kazuhiro Kawamura (1991)

Colloquium Mathematicae

A continuum means a compact connected metric space. For a continuum X, H(X) denotes the space of all homeomorphisms of X with the compact-open topology. It is well known that H(X) is a completely metrizable, separable topological group. J. Kennedy [8] considered a compactification of H(X) and studied its properties when X has various types of homogeneity. In this paper we are concerned with the compactification $G_{P}$ of the homeomorphism group of the pseudo-arc P, which is obtained by the method of...

On a condition for the pseudo radiality of a product

Angelo Bella, János Gerlits (1992)

Commentationes Mathematicae Universitatis Carolinae

A sufficient condition for the pseudo radiality of the product of two compact Hausdorff spaces is given.

Currently displaying 461 – 480 of 1013

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Displaying 461 – 480 of 1013

Note on the Wijsman hyperspaces of completely metrizable spaces

Note on universal topological completion

Note sur topologie exponentielle

Notes on monotone Lindelöf property

Notes on quotient maps

Notes on the topologies and uniformities of hyperspaces

Null-families of subsets of monotonically normal compacta

Numerical invariants of 0-dimensional spaces and their Cartesian multiplication.

O бикoмпaктax, лeжaщиx в $σ$ -пpoизвeдeнияx

Obtaining inverse sequences for certain continua

On a cardinal invariant resembling the Souslin number

On a certain lattice of topologies on a product of metric spaces

On a compactification of the homeomorphism group of the pseudo-arc

On a condition for the pseudo radiality of a product

On a construct of closure spaces

On a fuzzy topological structure

On a generalized small-object argument for the injective subcategory problem

On a method of constructing ANR-sets. An application of inverse limits

On a metrization of the hyperspace of a metric space

On a Michael's conjecture concerning the Lindelöf property in the Cartesian products

Currently displaying 461 – 480 of 1013