Completable fuzzy metric spaces
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https://riunet.upv.es/handle/10251/102306
Cita bibliográfica
Gregori Gregori, V.; Miñana, J.; Sapena Piera, A. (2017). Completable fuzzy metric spaces. Topology and its Applications. 225:103-111. https://doi.org/10.1016/j.topol.2017.04.016
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Resumen
[EN] In the context of fuzzy metrics in the sense of George and Veeramani, we introduce the concept of stratified fuzzy metric. Many well-known fuzzy metrics are stratified. We prove that stratified strong fuzzy metric spaces (X, M, *) are completable, under the assumption that * is integral (positive). In particular, stratified fuzzy ultrametric spaces are completable. (C) 2017 Elsevier B.V. All rights reserved.
Fuente
Topology and its Applications issn: 0166-8641