Welcome to our community

Be a part of something great, join today!

Quick question about continuous mapping

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
 

Opalg

MHB Oldtimer
Staff member
Feb 7, 2012
2,725
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.