Homology groups of simplicial complements

Abstract

This paper deals with homology groups induced by the exterior algebra generated by the simplicial compliment of a simplicial complex K. By using Čech homology and Alexander duality, the authors prove that there is a duality between these homology groups and the simplicial homology groups of K.

Keywords

Stanley-Reisner ring / Simplicial complement / Barycentric subdivision / Inflation complex

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