TL;DR
This paper establishes a new relationship between embolic volume and Betti numbers of compact manifolds, improving previous bounds using Gromov's systolic geometry techniques.
Contribution
It introduces an improved bound linking embolic volume to Betti numbers, advancing Durumeric's earlier results with novel geometric methods.
Findings
New bounds relating embolic volume and Betti numbers
Enhanced understanding of geometric invariants in manifolds
Application of Gromov's systolic geometry methods
Abstract
We show a new result of relating embolic volume of compact manifolds to Betti numbers. The result is an improvement to Durumeric's previous work. The proof is based on Gromov's method appeared in systolic geometry.
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Taxonomy
TopicsAdvanced Topology and Set Theory · Geometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology