The minimal lamination closure theorem

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The classical theory of minimal surfaces (2011, methodology): “Theorems 4.2 and 4.3 have been applied to obtain a number of results, among which we highlight three: Meeks and Rosenberg [136] proved that the helicoid and the plane are the unique properly embedded, simply connected minimal surfaces in R 3 (see Theorem 1.4); Meeks, Pérez and Ros used Colding-Mini”
Stable constant mean curvature surfaces (2008, background): “1 in [41], where they proved the stability of L under the constraint that the holonomy representation on any compact subdomain ∆ ⊂ L has subexponential growth (i.”
The half-space property and entire positive minimal graphs in M x R (2012, background): “al manifold with positive sectional curvatures. Then if S1,S2 are ﬁnite topology complete minimal surfaces embedded in N, they must intersect. This follows from the minimal lamination closure theorem [14]. There is also the classical theorem of Frankel [6] which states that if N be a closed n dimens”
The theory of minimal surfaces in M × R (2005, methodology): “follows immediately from the proof of Theorem 8.1 stated in Section 8 of this paper (the proof appears in [ 24 ]), that if the sequence �(n) were not uniformly locally simply connected at p, then there exists a sequence of homotopically non-trivial loops γ( ni) on some subsequence �(n i) with length”