4 papers
Monoidal and symmetrized parametrized topological complexity
Ramandeep Singh Arora, Navnath Daundkar
We introduce and study monoidal and symmetrized versions of parametrized topological complexity. First, we develop parametrized analogues of the monoidal topological complexity the…
Equivariant and invariant parametrized topological complexity
Ramandeep Singh Arora, Navnath Daundkar
For a -equivariant fibration , we introduce and study the invariant analogue of Cohen, Farber and Weinberger's parametrized topological complexity, called the i…
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…
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…