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arXiv · 2604.04296

Thomassen's proof and Filippov's proof of the Weak Jordan Theorem

Martin Klazar
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Abstract

We present, in detail and with a modern rigor, the two title proofs. The Weak Jordan Theorem (WJT) states that the complement of any topological circuit in the plane is disconnected.

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Martin Klazar. 2026-04-05. Thomassen's proof and Filippov's proof of the Weak Jordan Theorem. https://arxiv.org/abs/2604.04296

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