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For this question,
Prove: for each x in R and,
is an open set.
why does it suffice to show that the set is open by showing that every point of the set is an interior point?
EDIT: sorry if this or any of some of my future questions are trivial, i think this one is, but my professor has been hard to reach these past 2 weeks.
An open set is defined to be a set such that all it's points are interior points.Quote:
Originally Posted by p00ndawg
For this question,
Prove: for each x in R and
why does it suffice to show that the set is open by showing that every point of the set is an interior point?
EDIT: sorry if this or any of some of my future questions are trivial, i think this one is, but my professor has been hard to reach these past 2 weeks.