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?