Viewing topic: Nulhomotopy Lemma

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Nulhomotopy 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 a and b lie in the same component of S^2-f(A), then f is nulhomotopic.

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

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