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8 Nov 2007: Moreover, the Kretchmann scalar RαβγδRαβγδblows up along such curves, thus B can be viewed as a singular boundary. ... For such spacetimes, (5) cannot hold, so the notion of naked-ness must be defined more carefully.

20 Apr 2007: Rm such that α = R1R2. Rm.) If m is even, α SO(Rn). ... ii) We say that f : A B is surjective3 if given b B there exists ana A such that f (a) = b.

5 Apr 2007: It follows that vi is in particular bounded,i.e. there exists an R such that vi B(R). ... One direction is obvious. For the other, note that if U is an arbitraryopen set, and q = T (p) for p U, then there exists a δ such that p B(

19 May 2007: 1 log(α1)m such that |N (x) N (x′)| > αn for all but at most γ|B|2. ... Then there must exist for this r a set B such thatg(B) γ1b(B) > αrm2, which implies that |B| > αr/2m and b(B) 6 γ|B|2.

27 Jun 2007: One such assumption is the simplicity of the metric, see, e.g.,[22, 33, 37, 38]. ... Assume that there is a least m 1 such that(2.2) is not true.