Orientability of noncollapsed RCD and Ricci limit spaces is characterized by the orientability of the manifold part, is stable under limits, and yields uniform local orientability for noncollapsing four-manifolds.
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Lower Ricci Curvature Bounds and the Orientability of Spaces
Orientability of noncollapsed RCD and Ricci limit spaces is characterized by the orientability of the manifold part, is stable under limits, and yields uniform local orientability for noncollapsing four-manifolds.