Easily identifiable Stone-Cech compactifications

Given a completely regular space , is the Stone-Cech compactification of the space . We present three spaces whose Stone-Cech compactifications can be described explicitly. That is, these examples of are familiar spaces. For these examples, we can make such determination because a completely regular space is C*-embedded in its Stone-Cech compactification and any compactification of in which is C*-embedded must be . The third example makes use of a factorization theorem for products of separable.