13 citations · 20 across the 8 of their papers we have counts for
9 papers
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…
Transmission of perfect trees and rooted powers of graphs
Nicolás Cianci
We give exact formulas for the transmission (i.e. the sum of all distances between vertices) of perfect trees and rooted powers of (connected finite) graphs.
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…
Smallest homotopically trivial non-contractible spaces
Nicolás Cianci, Miguel Ottina
We characterize the homotopically trivial non-contractible topological spaces with the minimum number of points.
Poset splitting and minimality of finite models
Nicolás Cianci, Miguel Ottina
We develop a novel technique, which we call poset splitting, that allows us to solve two open problems regarding minimality of finite models of spaces: the nonexistence of a finite…
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…