4 papers
Discrete version of topological complexity of maps
Sutirtha Datta, Navnath Daundkar, Abhishek Sarkar +1
We introduce and study discrete analogs of Scott's and Murillo-Wu's topological complexity of maps. We prove that these discrete analogs are contiguity invariants and are, in fact,…
On the -dimensional sectional category and induced invariants
Ramandeep Singh Arora, Sutirtha Datta, Navnath Daundkar +1
In this paper, we systematically study the -dimensional sectional category of a fibration, introduced by Schwarz as an approximating invariant for the sectional category. We dev…
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…
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 …