4 papers
On the equivariant triangulation of some small covers
Raju Kumar Gupta, Soumen Sarkar
In this paper, we study certain properties of -equivariant triangulations of small covers. We show that any -equivariant triangulation of a small co…
On the Vietoris-Rips Complexes of Integer Lattices
Raju Kumar Gupta, Sourav Sarkar, Samir Shukla
For a metric space and , the Vietoris-Rips complex is a simplicial complex whose simplices are finite subsets of with diameter at most . Vi…
Simplicial degree self-maps on -spheres
Biplab Basak, Raju Kumar Gupta, Ayushi Trivedi
The degree of a map between orientable manifolds is a fundamental concept in topology, providing deep insights into the structure of manifolds and the behavior of maps between them…
A characterization of normal -pseudomanifolds with
Biplab Basak, Raju Kumar Gupta
We characterize normal -pseudomanifolds with . We know that if a -pseudomanifold with does not have any singular vertices then it is a -sphere. We fir…