Hereditarily Normal Wijsman Hyperspaces Are Metrizable
Jiling Cao, Heikki J. K. Junnila
TL;DR
This paper proves that all hereditarily normal Wijsman hyperspaces are metrizable, addressing a longstanding open problem in the field of topology.
Contribution
It establishes that hereditarily normal Wijsman hyperspaces are necessarily metrizable, providing a partial solution to a problem posed in 1998.
Findings
Hereditarily normal Wijsman hyperspaces are metrizable
Addresses a problem posed by Di Maio and Meccariello in 1998
Advances understanding of the relationship between normality and metrizability in hyperspaces
Abstract
In this paper, we study normality and metrizability of Wijsman hyperspaces. We show that every hereditarily normal Wijsman hyperspace is metrizable. This provides a partially answer to a problem of Di Maio and Meccariello in 1998.
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Taxonomy
TopicsAdvanced Topology and Set Theory · Rings, Modules, and Algebras · Advanced Algebra and Logic