Closed Infinite Broom
It consists of all closed line segments joining the origin to the point $(1, 1 / n)$ or to the point $(1, 0)$ with the subset topology from $\mathbb{R}^2$
It consists of all closed line segments joining the origin to the point $(1, 1 / n)$ or to the point $(1, 0)$ with the subset topology from $\mathbb{R}^2$