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math.GN2022
Lebesgue Number and Total Boundedness
Ajit Kumar Gupta, Saikat Mukherjee
A generalization of the Lebesgue number lemma is obtained. It is proved that, if each countably infinite locally finite open cover of a chainable metric space has a Lebesgue nu…
math.GN2022
Induced Homeomorphism and Atsuji Hyperspaces
Ajit Kumar Gupta, Saikat Mukherjee
Given uniformly homeomorphic metric spaces and , it is proved that the hyperspaces and are uniformly homeomorphic, where denotes the collection of all n…