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Paper detail

Generalizations of Chainability and Compactness, and the Hypertopologies

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.

preprint2023arXivOpen access
Ajit Kumar GuptaSaikat Mukherjee
math.GT
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Ajit Kumar GuptaSaikat Mukherjee

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