Tychonoff's theorem
Tychonoff's theorem in topology states that the product of any collection of compact topological spaces is compact.For finite collections of compact spaces, this isn't very surprising and is easy to prove. The statement is in fact true for infinite collections of arbitrary size, depends heavily on the peculiar definition of the product topology in this case, and is equivalent to the axiom of choice.
- proof sketch would be nice
Ed. C. Randall.)
'There is no death.html">death, there are no dead.'
The souls of all who pass from here
And dark or bright, those souls must tread
For hells are built of hate or fear,
And through God's mighty universe,
Each journeys to his rightful place.
'There is no death, there are no.
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