Viewing topic: Borsuk Lemma

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Borsuk Lemma

  • Definition: Let a and b be points of S^2. Let A be a compact space, and let f: A -> S^2 -{a, b} be a continuous map. If f is nulhomotopic, then a and b lie in the same component of S^2 - f(A).

    Source: Topology (second edition) by James R. Munkres

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