Using diffeomorphisms and the implicit function theorem perhaps.
general-topologyalgebraic-topologymanifolds
asked 2012-11-13
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To me manifolds seem a part of algebraic topology and differential geometry. But I'm wondering whether or not to leave the general-topology tag. – 2012-11-13
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Of course $[0,\infty)$ is a manifold with boundary. It's just one of the strange twists of mathematical terminology that a manifold with boundary may not be a manifold … – 2012-11-13