More extreme limits of manifolds with positive scalar curvature

In this paper, we extend the example constructed in [C. Sormani, W. Tian and C. Wang, An extreme limit with nonnegative scalar curvature, Nonlinear Analysis 239 (2024) 113427] to build new examples that satisfy the assumptions of the conjecture by Gromov. Each example consists of a sequence of warped product [Formula: see text]. Each of these sequences converges to a limit space with infinitely many poles in [Formula: see text]. These examples can be used to test various notions of weak scalar curvature.