My native language is not English and can't realize what does the first sentence on the picture sentence mean. In particular, "each angle and the $x$ axis are components". Could you explain it in other words?
Thank you!
2026-04-03 06:35:32.1775198132
Could you explain the meaning of the sentence
39 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail At
1
They are talking about connected components here. The set $X$ consists of the $x$-axis, along with infinitely many "angles". An angle in this case means one horizontal ray, meeting a line segment from $(0,1)$ at an angle. Here is a hastily-drawn picture of one such "angle":
As you can see from the drawing in your book, $X$ consists of infinitely many such angles, all joined together at $(0,1)$.
If you remove $(0,1)$ from this space, then each of those angles will be connected omponents of the space that is left.