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The coverse of the Jordan Curve Theorem and a characterization of planar maps

โœ Scribed by Carsten Thomassen

Publisher
Springer
Year
1989
Tongue
English
Weight
255 KB
Volume
32
Category
Article
ISSN
0046-5755

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โœฆ Synopsis

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.

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