Normalizing Topologically Minimal Surfaces III: Bounded Combinatorics
classification
🧮 math.GT
keywords
minimalsurfacetopologicallyboundedcombinatoricscombinedestablishesfinite
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We show that there are a finite number of possible pictures for a surface in a tetrahedron with local index $n$. Combined with previous results, this establishes that any topologically minimal surface can be transformed into one with a particular normal form with respect to any triangulation.
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