Home /
Answered Questions /
Other /
12-1-definition-a-set-s-is-connected-if-it-cannot-be-separated-by-two-disjoint-open-sets-u1-and-u2-i-aw385

# (Solved): 12.1. Definition. A Set S Is Connected If It Cannot Be Separated By Two Disjoint Open Sets U1 And U2...

12.1. Definition. A set S is connected if it cannot be separated by two disjoint open sets U1 and U2 into two nonempty pieces Sn Ui and Sn U2 (such that S= (s nU) U (SAU2)).
Prove from the definition (Definition 12.1) that the rational numbers Q are disconnected.

We have an Answer from Expert
View Expert Answer