3 papers
math.AT2025
Parametrized topological complexity of bundles of real projective spaces, I
Michael Farber, Amit Kumar Paul, Lucile Vandembroucq
Analysis of motion algorithms for autonomous systems operating under variable external conditions leads to the concept of parametrized topological complexity \cite{CFW}. In \cite{C…
math.AT2025
On the higher topological complexity of manifolds with abelian fundamental group
N. Cadavid-Aguilar, D. Cohen, J. González +2
We study the higher (or sequential) topological complexity of manifolds with abelian fundamental group. We give sufficient conditions for to be non-…
math.AT2025
Maps from Grassmannians of 2-planes to projective spaces
Ricardo Brasil, Ana Cristina Ferreira, Lucile Vandembroucq
Using quaternions and octonions, we construct some maps from the Grassmannian of 2-dimensional planes of , , to the projective space $\ma…