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Boundedness of pretangent spaces to general metric spaces
2014
Annales Academiae Scientiarum Fennicae: Mathematica
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Let (X, d, p) be a metric space with a metric d and a marked point p. We define the set of w-strongly porous at 0 subsets of [0, ∞) and prove that the distance set {d(x, p) : x ∈ X} is w-strongly porous at 0 if and only if every pretangent space to X at p is bounded.
doi:10.5186/aasfm.2014.3902
fatcat:g2valwk43vhldj7lf7t7apjeqe