On spaces of fuzzy metrics

Author A. Savchenko
Savchenko1960@rambler.ru
Kherson Agrarian University

Abstract We consider the space of all fuzzy metrics in the sense of George and Veeramani that are compatible with the topology of a compact metrizable space. It is proved that this space of fuzzy metrics is an l^2-manifold.
Keywords fuzzy metric; Hilbert space
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Pages 219-222
Volume 37
Issue 2
Year 2012
Journal Matematychni Studii
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