1. The problem statement, all variables and given/known data
6) Prove or give a counter-example of the following statements
(i) (interiorA)(closure) intersect interior(A(closure)):
(ii) interior(A(closure)) intersect (interiorA(closure)):
(iii) interior(A union B) = interiorA union interiorB:
(iv) interior(A intersect B) = interiorA intersect interiorB:
(v) (A union B) (closure) = (closure) A union (closure)B:
(vi) (A intersection B)(closure) = (closure) A intersection (closure)B:
2. Relevant equations
3. The attempt at a solution
i just dont know how to do any of them
|