Quadratic isoperimetric inequality for 7-located simplicial complexes
Ioana-Claudia Laz\u{a}r
TL;DR
This paper proves that 7-located simplicial complexes adhere to a quadratic isoperimetric inequality, providing insights into their geometric properties and filling behavior.
Contribution
It establishes a quadratic isoperimetric inequality for 7-located simplicial complexes, a novel result in geometric group theory.
Findings
7-located complexes satisfy quadratic isoperimetric inequality
Provides bounds on filling areas in these complexes
Advances understanding of geometric properties of simplicial complexes
Abstract
We show that 7-located simplicial complexes satisfy a quadratic isoperimetric inequality.
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Taxonomy
TopicsGeometric and Algebraic Topology · Topological and Geometric Data Analysis · Point processes and geometric inequalities