3 papers
math.AT2026
Reducibility of self-maps in monoid and its related invariants
Gopal Chandra Dutta
Given a positive integer , we investigate the -redcibility of self-maps in the monoid , consisting of self-maps that induce isomorphisms on homology groups up…
math.AT2026
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…
math.AT2025
Parametrized Topological Complexity for a Multi-Robot System with Variable Tasks
Gopal Chandra Dutta, Amit Kumar Paul, Subhankar Sau
We study a generalized motion planning problem involving multiple autonomous robots navigating in a -dimensional Euclidean space in the presence of a set of obstacles whose posi…