Algebraic Topology · Problem 22

The Fundamental Group — Allen Hatcher

Mathematics — Topology · homotopy-type-cell-complexes

Problem

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

about the edge line of

P