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Completeness results in probabilistic metric spaces
Authors:Mohsen Alimohammady  Abdolreza Esmaeli  Reza Saadati
Institution:1. Islamic Azad University-Nour Branch, Nour, Iran;2. Mazandaran University, Babolsar, Iran;3. Faculty of Sciences, University of Shomal, P.O.Box 731, Amol Iran;1. Université de Montréal, Département de Sciences Économiques, C.P. 6128, succursale Centre-ville, Montréal, QC, H3C 3J7, Canada;2. CIREQ, Canada;3. Imperial College London, South Kensington Campus, London, SW7 2AZ, United Kingdom;4. Center on Capitalism and Society, Columbia University, International Affairs Building, 420 W. 118th St., New York, NY, 10027, USA;1. Université de Montréal, Département de Sciences Économiques, C.P. 6128, succursale Centre-ville, Montréal, QC, H3C 3J7, Canada;2. CIREQ, Canada;3. University of Waterloo, Department of Statistics and Actuarial Science, 200 University Ave. W., Waterloo, ON, N2L 3G1, Canada
Abstract:In this paper, we consider complete probabilistic metrizable (topological) space and prove that any Gδ set in a complete probabilistic metric spaces is a topologically complete probabilistic metrizable space.
Keywords:
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