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Integral equivariant -theory and cobordism ring of simplicial GKM orbifold complexes
Koushik Brahma, Soumen Sarkar
In this paper, we define `simplicial GKM orbifold complexes' and study some of their topological properties. We introduce the concept of filtration of regular graphs and `simplicia…
LS-category and topological complexity of several families of fibre bundles
Navnath Daundkar, Soumen Sarkar
In this paper, we study upper bounds for the topological complexity of the total spaces of some classes of fibre bundles. We calculate a tight upper bound for the topological compl…
Relative LS categories and higher topological complexities of maps
Yuli B. Rudyak, Soumen Sarkar
In this paper, we study three relative LS categories of a map and study some of their properties. Then we introduce the `higher topological complexity' and `weak higher topological…
Maps of degree one, relative LS category and higher topological complexities
Yuli B. Rudyak, Soumen Sarkar
In this paper, we introduce relative LS category of a map and study some of its properties. Then we introduce `higher topological complexity' of a map, a homotopy invariant. We giv…