15 citations · 15 across the 8 of their papers we have counts for
4 papers · 1 filter
Estimates of covering type and the number of vertices of minimal triangulations
Dejan Govc, Wacław Marzantowicz, Petar Pavešić
The covering type of a space is defined as the minimal cardinality of a good cover of a space that is homotopy equivalent to . We derive estimates for the covering type of $…
Some anomalous examples of lifting spaces
Gregory R. Conner, Wolfgang Herfort, Petar Pavešić
An inverse limit of a sequence of covering spaces over a given space is not, in general, a covering space over but is still a lifting space, i.e. a Hurewicz fibration with…
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…