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math.AT2014★ 13 cited
On homology of finite topological spaces
Nicolás Cianci, Miguel Ottina
We develop a new method to compute the homology groups of finite topological spaces (or equivalently of finite partially ordered sets) by means of spectral sequences giving a compl…
math.AT2014
An A-based cofibrantly generated model category
Miguel Ottina
We develop a cofibrantly generated model category structure in the category of topological spaces in which weak equivalences are A-weak equivalences and such that the generalized C…