Complex sentence: By Tychonoff's theorem we have that (0,1) "C" is compact since (0,1) is, so the closure of "X" in (0,1) "C" is a compactification of "X".
Split into simpler sentences: By Tychonoff's theorem we have that (0,1) "C" is compact since (0,1) is. Consequently, the closure of "X" in (0,1) "C" is a compactification of "X".