15 citations · 15 across the 3 of their papers we have counts for
4 papers · 1 filter
How many simplices are needed to triangulate a Grassmannian?
Dejan Govc, Wacław Marzantowicz, Petar Pavešić
We compute a lower bound for the number of simplices that are needed to triangulate the Grassmann manifold . In particular, we show that the number of top-dimens…
Geometry of compact lifting spaces
Gregory R. Conner, Wolfgang Herfort, Petar Pavešić
We study a natural generalization of inverse systems of finite regular covering spaces. A limit of such a system is a fibration whose fibres are profinite topological groups. Howev…
Complexity of the forward kinematic map
Petar Pavešić
The main objective of this paper is to introduce a new method for qualitative analysis of various designs of robot arms. To this end we define the complexity of a map, examine its…
A Topologist's View of Kinematic Maps and Manipulation Complexity
Petar Pavešić
In this paper we combine a survey of the most important topological properties of kinematic maps that appear in robotics, with the exposition of some basic results regarding the to…