1 citations · 1 across the 1 of their papers we have counts for
6 papers
On the sectional category of subgroup inclusions and Adamson cohomology theory
Zbigniew Błaszczyk, José Carrasquel, Arturo Espinosa Baro
The sectional category of a subgroup inclusion can be defined as the sectional category of the corresponding map between Eilenberg--MacLane spaces. We extend…
Equivariant maps between representation spheres
Zbigniew Błaszczyk, Wacław Marzantowicz, Mahender Singh
Let be a compact Lie group. We prove that if and are orthogonal -representations such that , then a -equivariant map exists provide…
Topological complexity and efficiency of motion planning algorithms
Zbigniew Błaszczyk, José Carrasquel
We introduce a variant of Farber's topological complexity, defined for smooth compact orientable Riemannian manifolds, which takes into account only motion planners with the lowest…
Constructions of exotic actions on product manifolds with an asymmetric factor
Zbigniew Błaszczyk, Marek Kaluba
We explore transformation groups of manifolds of the form , where is an asymmetric manifold, i.e. a manifold which does not admit any non-trivial action of a finit…
General Bourgin-Yang theorems
Zbigniew Błaszczyk, Wacław Marzantowicz, Mahender Singh
We describe a unified approach to estimating the dimension of for any -equivariant map and any closed -invariant subset in terms…
Effective topological complexity of spaces with symmetries
Zbigniew Błaszczyk, Marek Kaluba
We introduce a version of Farber's topological complexity suitable for investigating mechanical systems whose configuration spaces exhibit symmetries. Our invariant has vastly diff…