TL;DR
This paper proves that arc-homogeneous Euclidean neighborhood retracts are homology manifolds, establishing a significant link between homogeneity properties and manifold structures in topology.
Contribution
It introduces a new result connecting arc-homogeneity with homology manifold properties in Euclidean neighborhood retracts.
Findings
Arc-homogeneous ENRs are homology manifolds.
Provides a new characterization of ENRs based on homogeneity.
Strengthens the understanding of topological properties of ENRs.
Abstract
We prove that an arc-homogeneous Euclidean neighborhood retract is a homology manifold.
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