A new spectral sequence for homology of posets

作者：Cianci Nicolas; Ottina Miguel^*

来源：Topology and Its Applications, 2017, 217: 1-19.

DOI：10.1016/j.topol.2016.12.001

• Spectral sequences
• Finite spaces
• Posets
• Homology groups
• Discrete Morse theory

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.

• 出版日期2017-2-15