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Generalizations of Chainability and Compactness, and the Hypertopologies
- Publication Year :
- 2023
-
Abstract
- We study two properties for subsets of a metric space. One of them is generalization of chainability, finite chainability, and Menger convexity for metric spaces; while the other is a generalization of compactness. We explore the basic results related to these two properties. Further, in the perspective of these properties, we explore relations among the Hausdorff, Vietoris, and locally finite hypertopologies.
- Subjects :
- Mathematics - Geometric Topology
54B20
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2301.07338
- Document Type :
- Working Paper