146 citations · 252 across the 22 of their papers we have counts for
23 papers
Representation Cohomology of a Small Category
Markus Klemetti, Ran Levi, Henri Riihimaki +1
Let be a simplicial object in the category of small categories. For a field , taking the Grothendieck groups of isomorphism classes of -modules gives ris…
Foundations of Differential Calculus for modules over posets
Jacek Brodzki, Ran Levi, Henri Riihimäki
Let be a field and let be a small category. A -linear representation of , or a -module, is a functor from to the category of finite dimensional vector spaces…
Construction of 2-local finite groups of a type studied by Solomon and Benson: Correction
Bob Oliver
We correct an error in Lemma 3.1 of my paper coauthored with Ran Levi on the Benson-Solomon fusion systems, and show that the change does not affect any of the other results in tha…
An application of neighbourhoods in digraphs to the classification of binary dynamics
Pedro Conceição, Dejan Govc, Jānis Lazovskis +3
A binary state on a graph means an assignment of binary values to its vertices. For example, if one encodes a network of spiking neurons as a directed graph, then the spikes produc…
Characterisation of polyhedral products with finite generalised Postnikov decomposition
Kouyemon Iriye, Daisuke Kishimoto, Ran Levi
A generalised Postnikov tower for a space is a tower of principal fibrations with fibres generalised Eilenberg-MacLane spaces, whose inverse limit is weakly homotopy equivalent…
Complexes of Tournaments, Directionality Filtrations and Persistent Homology
Dejan Govc, Ran Levi, Jason P. Smith
Complete digraphs are referred to in the combinatorics literature as tournaments. We consider a family of semi-simplicial complexes, that we refer to as "tournaplexes", whose simpl…