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Totally disconnected sets, Jordan curves, and conformal maps

✍ Scribed by G. Piranian

Book ID
111705946
Publisher
Springer Netherlands
Year
1972
Tongue
English
Weight
243 KB
Volume
2
Category
Article
ISSN
0031-5303

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πŸ“œ SIMILAR VOLUMES

The coverse of the Jordan Curve Theorem
The coverse of the Jordan Curve Theorem and a characterization of planar maps
✍ Carsten Thomassen πŸ“‚ Article πŸ“… 1989 πŸ› Springer 🌐 English βš– 255 KB

We show that a compact set F in the plane R 2 is the union of boundaries of a map if and only if each point of F is on the boundary of at least two arcwise connected components of R2\F, and it is accessible from each of those components.