Question

Subcover of an open cover. Consider the set {V_n} where V_n = (1/n, 1-1/n) and n is is a natural number starts from 3. If I want to pick some particular V_n, how would I denote the subcover?

Answer 1

@eliassaab @Marki

Answer 2

say i want to pick n = 5, 10, 11

Answer 3

well, that's not gonna be a subcover but i'm only concerned with the notation

Answer 4

if you want a range this should work :\[\{V_n\}_{n=1}^{n=20}\]

Answer 5

ermm sup=lowest high bound of right term

Answer 6

not that

1/n<1-1/n ( since its interval )

Answer 7

@ganeshie8 does that mean {V_1, V_2, V3, ... V_20}

Answer 8

I should have been clear that {V_n} is an open cover for the set [1/2,1)

Answer 9

>.<

Answer 10

here is hint