I think what they meant by end is that time appears to stop at the event horizon for outside observers. As something approaches a black hole event horizon, time

I think what they meant by end is that time appears to stop at the event horizon for outside observers. As something approaches a black hole event horizon, time appears to infinitely slow, for an outside observer, such that a frozen image of the object gets stuck on the event horizon. But this image can't be seen because it gets infinitely red shifted such that no detection device can keep up with the longer and longer wavelengths.