Let tau be the topology generated by (a,b]:a<b on R, an=frac1n and bn=-frac1n. Then:

(C) (an) does not converge and (bn) converges in tau

Q59Section II (Mathematics)59 of 180

Topology — the upper-limit topology

Let $\tau$ be the topology generated by $\{(a,b]:a<b\}$ on $\mathbb{R}$ , $a_n=\frac1n$ and $b_n=-\frac1n$ . Then:

Pick an option to check your answer.

Keyboard: A–D answer · S solution · ←/→ previous/next