8 citations · 25 across the 6 of their papers we have counts for
6 papers · 1 filter
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…
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…
On equivariant and invariant topological complexity of smooth -spheres
Zbigniew Błaszczyk, Marek Kaluba
We investigate equivariant and invariant topological complexity of spheres endowed with smooth non-free actions of cyclic groups of prime order. We prove that semilinear $\mathbb{Z…