which embeds locally compact Hausdorff spaces into compact Hausdorff spaces in a “universal” fashion; and The Urysohn metrization theorem , that shows that every second-countable normal Hausdorff space is metrizable. Read the rest of this entry » 245B notes 4: The Stone and Loomis-Sikorski representation theorems (optional) 12 January, 2009 in 245B