15 citations · 15 across the 8 of their papers we have counts for
14 papers
Parametrized LS category and group actions
Urban Ogrinec, Petar Pavešić
We introduce a new invariant associated to an action of a group on a (possibly non-commutative) group . The invariant is based on the -parametrized LS-category of the sem…
A canonical splitting of the first homology group of Peano continua
Gregory R. Conner, Wolfgang Herfort, Curtis Kent +1
The first singular homology of a Peano continuum with torsion-free first Cech homology, , splits as where is the homology s…
Motion Planning on One-Dimensional Peano Continua
Jeremy Brazas, Petar Pavesic
We study the Lusternik-Schnirelmann category and topological complexity of 1-dimensional spaces. We define both invariants as lengths of suitable closed filtrations, as opposed to…
Equivariant covering type and the number of vertices in equivariant triangulations
Dejan Govc, Waclaw Marzantowicz, Petar Pavesic
We introduce the notion of the \emph{equivariant covering type} of a space on which a finite group acts, and study its properties. The equivariant covering type measures th…
Estimates of covering type and minimal triangulations based on category weight
Dejan Govc, Waclaw Marzantowicz, Petar Pavesic
In a recent publication (D. Govc, W. Marzantowicz, P. Pavesic, Estimates of covering type and the number of vertices of minimal triangulations, Discr. Comp. Geom. 63 (2019), 31-48)…
Inverse limit slender groups
Gregory Conner, Wolfgang Herfort, Curtis Kent +1
Classically, an abelian group is said to be slender if every homomorphism from the countable product to factors through the projection to some finit…