3 citations · 5 across the 4 of their papers we have counts for
5 papers · 1 filter
Homology of posets with functor coefficients and its relation to Khovanov homology of knots
Nicolás Cianci, Miguel Ottina
We study homology groups of posets with functor coefficients and apply our results to give a novel approach to study Khovanov homology of knots and related homology theories.
Fibrations between finite topological spaces
Nicolás Cianci, Miguel Ottina
We study Hurewicz fibrations between finite T--spaces from a combinatorial viewpoint and give strong conditions that a continuous map between finite T--spaces must satisfy…
Regular coverings and fundamental groupoids of Alexandroff spaces
Nicolás Cianci
We summarize several results about the regular coverings and the fundamental groupoids of Alexandroff spaces. In particular, we show that the fundamental groupoid of an Alexandroff…
Fiber bundles over Alexandroff spaces
Nicolás Cianci, Miguel Ottina
We introduce a topological variant of the Grothendieck construction which serves to represent every fiber bundle over an Alexandroff space. Using this result we give a classificati…
A combinatorial characterization of Hurewicz cofibrations between finite topological spaces
Nicolás Cianci, Miguel Ottina
We characterize the Hurewicz cofibrations between finite topological spaces, that is, the continuous functions between finite topological spaces that have the homotopy extension pr…