b-complete

b-complete

[¦bē kəm¦plēt]
(relativity)
A criterion determining whether a space-time is free of singularities based on whether curves of finite length have an end point, where length is defined by a generalized affine parameter along the curve.
References in periodicals archive ?
Let (X, d, s > 1) be a b-complete b-metric space and T : X [right arrow] X such that condition (1) holds.
Since (X, d, s > 1) is b-complete, each {[T.sup.n]x} has a limit point, say [eta](x).
Then (X, d, 22/21 > 1) is a b-complete b-metric space, but it is not a metric space.
Nemytzki-Edelstein-Meir-Keeler Type Results in b-Metric Spaces
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