{ "id": "0803.3498", "version": "v1", "published": "2008-03-25T07:37:02.000Z", "updated": "2008-03-25T07:37:02.000Z", "title": "Combinatorial and model-theoretical principles related to regularity of ultrafilters and compactness of topological spaces. I", "authors": [ "Paolo Lipparini" ], "comment": "5 pages", "categories": [ "math.LO", "math.GN" ], "abstract": "We begin the study of the consequences of the existence of certain infinite matrices. Our present application is to compactness of products of topological spaces.", "revisions": [ { "version": "v1", "updated": "2008-03-25T07:37:02.000Z" } ], "analyses": { "subjects": [ "03E05", "54B10", "54D20", "03E75" ], "keywords": [ "topological spaces", "model-theoretical principles", "compactness", "regularity", "ultrafilters" ], "note": { "typesetting": "TeX", "pages": 5, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2008arXiv0803.3498L" } } }