# Answer to Question #1706 in Differential Geometry | Topology for Katie

Question #1706

Need help with following Q:

X is the ray {0,infinity) and the topological structure consists of {}, X, and all rays (b, infinity) with b>=0. Please prove that every continuous bijection of this space X onto itslef is a homeomorphism.

Thank you very much.

X is the ray {0,infinity) and the topological structure consists of {}, X, and all rays (b, infinity) with b>=0. Please prove that every continuous bijection of this space X onto itslef is a homeomorphism.

Thank you very much.

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