An example of a homeomorphism of the plane where the set of $\omega$-limit points is not a closed set
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- by Michael W. Hero PDF
- Proc. Amer. Math. Soc. 117 (1993), 843-844 Request permission
Abstract:
Using a self-map of an interval and its associated inverse limit space we construct an example of a homeomorphism of the plane $h$ such that the set of $\omega$-limit points of $h$ is not a closed set.References
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Additional Information
- © Copyright 1993 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 117 (1993), 843-844
- MSC: Primary 54H20; Secondary 58F08
- DOI: https://doi.org/10.1090/S0002-9939-1993-1152983-9
- MathSciNet review: 1152983