Mar 14, 2012 Thread starter #1 E EberthQ New member Mar 7, 2012 3 When f maps E into a metric space Y: (E is subset of metric space X) Is it eqivalent to say that f is a continuous mapping and that for a subset E of X, to say that for every p element of E, f is continuous at p.? thank you

When f maps E into a metric space Y: (E is subset of metric space X) Is it eqivalent to say that f is a continuous mapping and that for a subset E of X, to say that for every p element of E, f is continuous at p.? thank you

Mar 15, 2012 Moderator #2 Opalg MHB Oldtimer Staff member Feb 7, 2012 2,818 Yes. To say that a function (or mapping) is continuous is the same as saying that it is continuous at each point of its domain.

Yes. To say that a function (or mapping) is continuous is the same as saying that it is continuous at each point of its domain.