most recent 30 from http://mathoverflow.net 2013-06-19T15:33:18Z http://mathoverflow.net/feeds/question/88301 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/88301/constructing-the-stone-space-of-a-distributive-lattice Jon Beardsley 2012-02-12T20:51:36Z 2012-02-12T21:07:21Z

<p>Does anyone have a good reference for the method of giving a topology to a distributive lattice as outlined in M.H. Stone's "Topological representation of distributive lattices and Brouwerian logics"? The full reference for that paper is:</p> <p>M.H. Stone, Topological representation of distributive lattices and Brouwerian logics, ˇCasopis Pešt. Mat. Fys. 67 (1937) 1–25.</p> <p>But I cannot seem to find an actual copy of the paper. Perhaps there are more recent references that outline the process in more modern terms, or perhaps it is very simply and can simply be described in an answer here. I have heard that the construction involves choosing ultrafilters, but from what I can glean ABOUT Stone's paper (e.g. a 1938 review of it by Saunders MacLane, Stone seems to do things in terms of so-called ideals of the lattice). </p> <p>Thanks for any help!</p>