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Completing extended metric spaces: An alternative approach

Authors:	James F. Peters Surabhi Tiwari

Affiliation:	1. Computational Intelligence Laboratory,University of Manitoba, Winnipeg, MB, Canada;2. School of Mathematics, University of Hyderabad, Hyderabad-500046, India;3. Department of Mathematics, Motilal Nehru National Institute of Technology, Allahabad-211004, UP, India

Abstract:	This paper proves the completion of extended metric spaces using the concept of $ε$ -approach nearness spaces, in terms of clusters that are a generalization of Cauchy sequences.

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