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This content will become publicly available on December 1, 2025

Title: Macroscopic scalar curvature and codimension 2 width
We show that a complete [Formula: see text]-dimensional Riemannian manifold [Formula: see text] with finitely generated first homology has macroscopic dimension [Formula: see text] if it satisfies the following “macroscopic curvature” assumptions: every ball of radius [Formula: see text] in [Formula: see text] has volume at most [Formula: see text], and every loop in every ball of radius [Formula: see text] in [Formula: see text] is null-homologous in the concentric ball of radius [Formula: see text].  more » « less
Award ID(s):
1926686
PAR ID:
10534631
Author(s) / Creator(s):
; ;
Publisher / Repository:
World Scientific Publishing
Date Published:
Journal Name:
Journal of Topology and Analysis
Volume:
16
Issue:
06
ISSN:
1793-5253
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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