Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5778086 | Topology and its Applications | 2017 | 19 Pages |
Abstract
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Nicolás Cianci, Miguel Ottina,