The problem is sketch "boundary of any finite set of points in the plane" and determine its boundary. I'm totally confused since there'are infinitely finite sets in the plane, such as one point alone. How can I sketch its picu
There isn't one possible picture, but they are all about equally interesting. The boundary is the set of points in the plane which have both points in and out of your finite point-set 'near' them. Since a finite point set is exclusively made up of separated points (the interior of the set is empty) the boundary is empty.