Dispersion points and rational curves

Lipham, David

doi:10.1090/proc/14920

Dispersion points and rational curves
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by David S. Lipham

Proc. Amer. Math. Soc. 148 (2020), 2671-2682

DOI: https://doi.org/10.1090/proc/14920

Published electronically: March 4, 2020

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Abstract:

We construct two connected plane sets which can be embedded into rational curves. The first is a biconnected set with a dispersion point. It answers a question of Joachim Grispolakis. The second is indecomposable. Both examples are completely metrizable.

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