Almgren and topological minimality for the set $Y\times Y$

Mathematics – Classical Analysis and ODEs

Scientific paper

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41 pages

Scientific paper

In this paper we discuss various minimality properties for the orthogonal
product of two 1-dimensional $\Y$ sets, and some related problems. This is
motivated by an attempt to give the classification of singularities for
2-dimensional Almgren-minimal sets in $\R^4$.

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