Algebraic Topology · Problem 2B.6

Cohomology — Allen Hatcher

Mathematics — Topology · alexander-horned-sphere

Problem

Modify the construction of the Alexander horned sphere to produce an embedding S2↪R3S^2 \hookrightarrow \mathbb{R}^3 for which neither component of R3−S2\mathbb{R}^3 - S^2 is simply-connected.

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