4 citations · 8 across the 7 of their papers we have counts for
9 papers
Fundamental groups of small simplicial complexes
Dejan Govc, Wacław Marzantowicz, Łukasz Patryk Michalak +1
The number of nonisomorphic simplicial complexes with up to vertices increases super-exponentially with , which makes exhaustive computation of invariants associated with su…
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…
Manifolds with small topological complexity
Petar Pavešić
We study closed orientable manifolds whose topological complexity is at most 3 and determine their cohomology rings. For some of admissible cohomology rings we are also able to ide…
Topological complexity of real Grassmannians
Petar Pavešić
We use some detailed knowledge of the cohomology ring of real Grassmann manifolds to compute zero-divisor cup-length and estimate topological complexity of moti…
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…
Loop near-rings and unique decompositions of H-spaces
Damir Franetič, Petar Pavešić
For every H-space the set of homotopy classes possesses a natural algebraic structure of a loop near-ring. Albeit one cannot say much about general loop near-rings, it…