More Extreme Limits of Manifolds with Positive Scalar Curvature

Abstract

In this article, we extend the example constructed in the paper by Sormani-Tian-Wang to build new examples that satisfy the assumptions of the conjecture by Gromov. Each of these new examples of sequence converges to a limit space with infinitely many poles in ${\mathbb{S}}^2$. These examples can be used to test various notions of weak scalar curvature.