Rank Selection and Depth Conditions for Balanced Simplicial Complexes

22 Feb 2019 Holmes Brent Lyle Justin

We prove some new rank selection theorems for balanced simplicial complexes. Specifically, we prove that rank selected subcomplexes of balanced simplicial complexes satisfying Serre's condition $(S_{\ell})$ retain $(S_{\ell})$... (read more)

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Categories


  • COMMUTATIVE ALGEBRA
  • COMBINATORICS