In [Fuzzy Sets and Systems 27 (1988) 385-389], M. Grabiec in- troduced a notion of completeness for fuzzy metric spaces (in the sense of Kramosil and Michalek) that successfully used to obtain a fuzzy version of Ba- nachs contraction principle. According to the classical case, one can expect that a compact fuzzy metric space be complete in Grabiecs sense. We show here that this is not the case,...

A natural strengthening of the completeness hypothesis, called B-completeness, allows us to extend to ωμ-metric spaces some properties of complete metric spaces which fail to hold if only the completeness condition is assumed. In this way we achieve some results on hyperspace theory, dealing with supercompleteness and with selections of multivalued functions. The notion of B-completeness is inv...

The geometric concept of geodesic completeness depends on the choice metric field or “metric frame”. We develop a frame-invariant “generalised completeness” “time completeness”. It is based notion physical time defined by counting oscillations for some physically allowed process. Oscillating solutions wave functions particles with varying mass permit derivation generalised geodesics and associa...

In this paper, we evaluate the quality of the metadata of an OAIcompliant repository based on the completeness metric proposed by X. Ochoa and E. Duval. This study focuses on the completeness of the metadata records as defined by M.A. Sicilia et al, where machine-understandability is a mandatory requirement for completeness. The goal is to use the completeness metric as a tool for harvesters an...