Date: Mar 14, 2013 10:49 PM Author: William Elliot Subject: Stone Cech Let (g,Y) be a Cech Stone compactification of S.

If (f,X) is a compactification of S, does X embed in Y?

If (g,Y) is a compactification of S and

for all compactifications (f,X), X embeds in Y

is (g,Y) a Stone Cech compactification of S?

Why in the heck is a compactification an embedding

function and a compact space? Wouldn't be simpler

to define a compactification of a space S, as a

compact space into which S densely embeds?