On the number of periodic points for expansive pseudogroups

Pablo D. Carrasco, Elias Rego and Jana Rodriguez Hertz

Chaos, Solitons & Fractals, 2024, vol. 186, issue C

Abstract: We consider weakly expansive holonomy pseudogroup foliations of compact manifolds. Our main results show the number of compact leaves is generally countable, and at most finite for codimension-one cases. We show examples of such foliations, demonstrating the results are sharp.

Keywords: Expansive foliations; Epstein filtration (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:186:y:2024:i:c:s0960077924007975

DOI: 10.1016/j.chaos.2024.115245

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