7-located locally 5-large complexes are aspherical

2025/09/30 by Katherine Goldman, Goldman, Katherine, Piotr Przytycki +1
Computer Science · Mathematics · #Topological and Geometric Data Analysis #Homotopy and Cohomology in Algebraic Topology #Commutative Algebra and Its Applications

paper · pdf · doi:10.48550/arxiv.2509.25674

Abstract

We prove that 7-located locally 5-large simplicial complexes are aspherical.

Citations

• 7-location, weak systolicity and isoperimetry
• Combinatorial negative curvature and triangulations of three-manifolds
• A combinatorial non-positive curvature I: weak systolicity
• Dismantlability of weakly systolic complexes and applications

Related

• 7-location, weak systolicity and isoperimetry
• Whitehead aspherical conjecture via ribbon sphere-link
• Homotopy equivalences of localized aspherical complexes
• Quadratic isoperimetric inequality for 7-located simplicial complexes
• Asphericity and Bökstedt-Neeman Theorem