Question: Let X be the graph homeomorphic to the union of a circle and a diameter. Prove: O X retracts to any point X X

Let X be the graph homeomorphic to the union of a circle

Let X be the graph homeomorphic to the union of a circle and a diameter. Prove: O X retracts to any point X X does not deformation retract to any point in X CX, the cone on X, does deformation retract to any point in its base.

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