Complete embedded minimal hypersurfaces in R^4 with bounded second fundamental form and finite second Betti number are proper.
and Tinaglia, Giuseppe , title =
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Calabi-Yau Conjecture for Minimal Hypersurfaces in $\mathbb{R}^4$ with bounded geometry
Complete embedded minimal hypersurfaces in R^4 with bounded second fundamental form and finite second Betti number are proper.