(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

If L is a straight line in the plane, describe the topology L inherits

as a subspace of RlxR and as a subspace of RlxRl in each case it is a

familiar topology.(Rl= lower limit topology)

3. The attempt at a solution

RlxR topology is the union of intervals [a,b)x(c,d) which is any open interval in R^2. Likewise for the topology of RlxRl. Hence any intersection between open intervals in R^2 and the line y=mx+b will be an open interval of the line. So in both cases, won't the inherited topology just be R?

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# Homework Help: Another Topology Question

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