6 papers · 1 filter
On sequential versions of various parametrized invariants
Navnath Daundkar, Abhishek Sarkar, Ankur Sarkar
In this paper, we introduce and study sequential versions of several fibrewise homotopy invariants, including parametrized topological complexity, parametrized (subspace) homotopic…
Equivariant homotopic distance
Navnath Daundkar, J. M. García-Calcines
We introduce and study the notion of \emph{equivariant homotopic distance} between -maps . We show that the equivariant Lusternik-Schnirelmann cat…
On the topological complexity of directed parametrized motion planning
Sutirtha Datta, Navnath Daundkar, Abhishek Sarkar
We introduce and study a parametrized analogue of the directed topological complexity, originally developed by Goubault, Farber, and Sagnier. We establish the fibrewise basic dihom…
Parametrized homotopic distance
Navnath Daundkar, J. M. García-Calcines
We introduce the concept of parametrized homotopic distance, extending the classical notion of homotopic distance to the fibrewise setting. We establish its correspondence with the…
Higher topological complexity of planar polygon spaces having small genetic codes
Sutirtha Datta, Navnath Daundkar, Abhishek Sarkar
We study the higher (sequential) topological complexity, a numerical homotopy invariant for the planar polygon spaces. For these spaces with a small genetic codes and dimension …
Sectional category with respect to group actions and sequential topological complexity of fibre bundles
Ramandeep Singh Arora, Navnath Daundkar, Soumen Sarkar
Let be a -space. In this paper, we introduce the notion of sectional category with respect to . As a result, we obtain -homotopy invariants: the LS category with respe…