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Measurable Versions of Some Topological Properties for Diffeomorphisms with Continuous Foliations
- Source :
- Mathematical Problems in Engineering. 2023:1-11
- Publication Year :
- 2023
- Publisher :
- Hindawi Limited, 2023.
-
Abstract
- In this paper, the concepts of plaque expansivity, topological quasi-stability, and quasi-shadowing property for Borel measures are considered. It is proved that every plaque expansive measure with the quasi-shadowing property is topologically quasi-stable with respect to its continuous foliation. At the same time, some other properties of the topological quasi-stable measures, the plaque expansive measures, and measures with the quasi-shadowing on a compact Riemannian manifold are investigated.
- Subjects :
- Article Subject
General Mathematics
General Engineering
Subjects
Details
- ISSN :
- 15635147 and 1024123X
- Volume :
- 2023
- Database :
- OpenAIRE
- Journal :
- Mathematical Problems in Engineering
- Accession number :
- edsair.doi.dedup.....62843ecb4f3d63a1632fa00b3a1adfa4