Hatcher 0.22

Hatcher, Algebraic Topology, Chapter 0

22. Let X be a finite graph lying in a half-plane P\subset\mathbb{R}^3 and intersecting the edge of P in a subset of the vertices of X. Describe the homotopy type of the `surface of revolution’ obtained by rotating X around the edge of P.

Proof. Consider the image shown in the document here.

   \square

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