Original sentence: The closed infinite broom is then the infinite broom together with the open interval (0, 1/2).The infinite broom is the subset of the Euclidean plane that consists of all closed line segments joining the origin to the point (1, 1 / n) as n varies over all positive integers, together with the interval (1/2, 1] on the x-axis
Edited sentence: The closed infinite broom is then the infinite broom together with the interval (0, ½] on the x-axis.The infinite broom is the subset of the Euclidean plane that consists of all closed line segments joining the origin to the point (1, 1 / n) as n varies over all positive integers, together with the interval (½, 1] on the x-axis