Dispersion points and rational curves
Copyright policy )Dispersion points and rational curves
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.
10 pages
- Auburn University United States
- Auburn University at Montgomery United States
- Auburn University System United States
Extensions of spaces (compactifications, supercompactifications, completions, etc.), 54F50, 54F15, 54D35, 54G20, Continua and generalizations, Counterexamples in general topology, General Topology (math.GN), FOS: Mathematics, Dimension theory in general topology, Mathematics - General Topology
Extensions of spaces (compactifications, supercompactifications, completions, etc.), 54F50, 54F15, 54D35, 54G20, Continua and generalizations, Counterexamples in general topology, General Topology (math.GN), FOS: Mathematics, Dimension theory in general topology, Mathematics - General Topology
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