2 citations · 3 across the 3 of their papers we have counts for
3 papers
math.CA2014
Limits of topological minimal sets with finitely generated coefficient groups
Xiangyu Liang
We prove that Hausdorff limit of topological minimal sets (with finitely generated coefficient group) are topologically minimal. The key idea is to reduce the homology group on the…
math.CA2012★ 2 cited
Almgren and topological minimality for the set
Xiangyu Liang
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…
math.CA2012★ 1 cited
Regularity for minimal sets near a union of two planes
Xiangyu Liang
We discuss the global regularity of 2 dimensional minimal sets that are near a union of two planes, and prove that every global minimal set in R^4 that looks like a union of two al…