Question: Why did you use unions and not intersects Step 5: Show Preimages of Arbitrary Unions of Basis Elements are Open Every open set U in
Why did you use unions and not intersects
Step 5: Show Preimages of Arbitrary Unions of Basis Elements are Open Every open set U in Y is a union of basis elements: U = UjeJ Bj. So, f 1 ( U ) = f 1 B;= Uf-(B; ) jEJ jEJ Each f (B;) is open by Step 4, so f (U ) is a union of open sets, thus openStep by Step Solution
There are 3 Steps involved in it
1 Expert Approved Answer
Step: 1 Unlock
Question Has Been Solved by an Expert!
Get step-by-step solutions from verified subject matter experts
Step: 2 Unlock
Step: 3 Unlock
Study Help