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Homology Groups of Simplicial Complements |
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| Authors: | Jun MA Feifei FAN and Xiangjun WANG |
| Institution: | 1. School of Mathematical Sciences, Fudan University, Shanghai 200433, China;2. School of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071, China |
| Abstract: | This paper deals with homology groups induced by the exterior algebra generated by the simplicial compliment of a simplicial complex $K$. By using \v Cech 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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