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.
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This work was supported by the National Natural Science Foundation of China (Nos. 11371093, 11261062, 11471167).
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Ma, J., Fan, F. & Wang, X. Homology groups of simplicial complements. Chin. Ann. Math. Ser. B 37, 683–690 (2016). https://doi.org/10.1007/s11401-016-0971-7
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DOI: https://doi.org/10.1007/s11401-016-0971-7