13 citations · 20 across the 11 of their papers we have counts for
4 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…
A new tool to study the fixed point property of finite posets
Ana Gargantini, Miguel Ottina
We develop a novel tool to study the fixed point property of finite posets using a topological approach. Our tool is a construction which turns out to induce an endofunctor of the…
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…