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Hyperspace Topologies


In this paper we study properties of metric spaces. We consider the collection of all nonempty closed subsets, Cl(X), of a metric space (X,d) and topologies on C.(X) induced by d.
Jeannette Broad Freeman
semanticscholar   +1 more source

Norms that generate the same Wijsman topology on convex sets

1995
Summary: In a Banach space \(X\), we introduce a criterion for comparing the Wijsman topologies that are induced by two equivalent norms of \(X\) on the hyperspace of closed convex sets \(C(X)\). Thereafter, we study the duality map associated with the unit ball of a given norm of \(X\) in relation to its composition with the polarity map.
openaire   +2 more sources

Exceptional topology of non-Hermitian systems

Reviews of Modern Physics, 2021
Emil J Bergholtz   +2 more
exaly  

Higher-order band topology

Nature Reviews Physics, 2021
Bi-Ye Xie, Hai-Xiao Wang, Xiujuan Zhang
exaly  

Non-Hermitian topology and exceptional-point geometries

Nature Reviews Physics, 2022
Kun Ding, Chen Fang, Guancong
exaly  

Topology and geometry under the nonlinear electromagnetic spotlight

Nature Materials, 2021
Qiong   +2 more
exaly  

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