A new spectral sequence for homology of posets

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• 作者：Nicolá ; s Cianci^a ; ^b ; ^{nicocian@gmail.com} ; Miguel Ottina^a ; ^{mottina@fcen.uncu.edu.ar}
• 关键词：primary ; 55T05 ; 55N10 ; secondary ; 06A99 ; 55U10 ; 55U15
• 刊名：Topology and its Applications
• 出版年：2017
• 出版时间：15 February 2017
• 年：2017
• 卷：217
• 期：Complete
• 页码：1-19
• 全文大小：449 K
• 卷排序：217

文摘

We develop a new method to compute the homology groups of Alexandroff topological spaces (or equivalently of partially ordered sets) by means of spectral sequences giving a complete and simple description of the corresponding differentials. Applying our tools, we obtain a generalization of a result of Minian in homological Morse theory for posets.