Interior, Closure and Boundary of sets
A little topology (I think) problem here:
For A:= [0,1) ∪ ([2,3] ∩ http://upload.wikimedia.org/wikipedi...d9cf5fa79f.png) ∪ {5} ⊂ R (real numbers) find the closure, boundary and interior of A
I know the definitions but I don't know how to actually calculate them
Re: Interior, Closure and Boundary of sets
To compute the closure, just notice that the closure of a finite union is the union of the closures.
For the interior, can the points of
be in it? And what about
?
Re: Interior, Closure and Boundary of sets
Quote:
Originally Posted by
fylth
Do you know that 
![\overline{[0,1)}=[0,1],~\overline{[2,3]\cap\mathbb{Q}}=[2,3],~\&~\overline{\{5\}}=\{5\}](http://latex.codecogs.com/png.latex?\overline{[0,1)}=[0,1],~\overline{[2,3]\cap\mathbb{Q}}=[2,3],~\&~\overline{\{5\}}=\{5\})
Re: Interior, Closure and Boundary of sets
The boundary is the closure toss (set difference) the set...
The interior is...