Recent content by ShortFive

Well, for anyone who has looked at this thread and might be even remotely interested, I think I have more or less worked it out for myself. The key appears to be to construct the Stone-Cech compactification in terms of ultrafilters. I do not recall ever having done it that way before, so it...

This is not an exercise from a textbook, but a question regarding a remark in a textbook, so I was not sure if this question belongs here or in the homework section. Forgive me if I have erred. I was reading Kusraev and Kutateladze, Boolean Valued Analysis. In it, the authors make the...

It looks to me like you are trying to prove that |[0,1] \times [0,1]| = |[0,1]|. Now, I do not know what facts of life you are allowed to assume here, but it seems like the easiest way to go is to appeal to the Schroeder-Bernstein Theorem. If you are unfamiliar with it, the Schroeder-Bernstein...