On the infimum of the Hausdorff and Vietoris topologies
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- by S. Levi, R. Lucchetti and J. Pelant PDF
- Proc. Amer. Math. Soc. 118 (1993), 971-978 Request permission
Abstract:
We study the infimum of the Hausdorff and Vietoris topologies on the hyperspace of a metric space. We show that this topology coincides with the supremum of the upper Hausdorff and lower Vietoris topologies if and only if the underlying metric space is either totally bounded or is a UC space.References
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Additional Information
- © Copyright 1993 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 118 (1993), 971-978
- MSC: Primary 54B20; Secondary 54E35
- DOI: https://doi.org/10.1090/S0002-9939-1993-1165059-1
- MathSciNet review: 1165059