Suppose a, b∈R with a < b, and R is endowed with theeuclidean topology.(a) Prove that [a, b) is not open in R. (b) Prove that [a, b) is also not closed in R. - 道道学堂问答

Suppose a, b∈R with a &lt; b, and R is endowed with theeuclidean topology.(a) Prove that [a, b) is not open in R. (b) Prove that [a, b) is also not closed in R.

匿名用户最后更新于 2021-12-01 19:16 数学类Mathematics

Suppose a, b∈R with a < b, and R is endowed with theeuclidean topology.

(a) Prove that [a, b) is not open in R.

(b) Prove that [a, b) is also not closed in R.

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