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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.

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

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Normality and Martin's axiom

Normality and paracompactness in finite and countable Cartesian products

Normality and paracompactness in subsets of product spaces

Normality and paracompactness of Pixley-Roy hyperspaces

Normality of product spaces

Not all dyadic spaces are supercompact

Note about atom-categories of topological spaces

Note on category in Cartesian products of metrizable spaces

Note on decompositions of metrizable spaces I

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.

Currently displaying 21 – 37 of 37