My real analysis book says that a path from two points p, q in a metric space M is a continuous function f: [a,b] --> M such that f(a) = p and f(b) = q, for some a and some b. But when I read other definitions, it says a path from two points p, q in a metric space M is a continuous function f: [0,1] ---> M such that f(0) = p, f(1) = q.(adsbygoogle = window.adsbygoogle || []).push({});

Are the two definitions equivalent?

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# Definition of path

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