2 citations · 2 across the 2 of their papers we have counts for
5 papers
Universal covering spaces, a footnote
Petar Pavešić
We give a short proof that, for nice , the based fundamental groupoid of with topology induced by the compact open topology on the space of paths, is indeed the universal co…
General theory of lifting spaces
Gregory R. Conner, Petar Pavešić
In his classical textbook on algebraic topology Edwin Spanier developed the theory of covering spaces within a more general framework of lifting spaces (i.e., Hurewicz fibrations w…
Monotonicity of the Schwarz genus
Petar Pavešić
Schwarz genus of a fibration is defined as the minimal integer , such that there exists a cover of by open sets that admit partial secti…
Topological complexity of a map
Petar Pavešić
We study certain topological problems that are inspired by applications to autonomous robot manipulation. Consider a continuous map , where can be a kinematic m…
Triangulations with few vertices of manifolds with non-free fundamental group
Petar Pavešić
We study lower bounds for the number of vertices in a PL-triangulation of a given manifold . While most of the previous estimates are based on the dimension and the connectivity…