{ "id": "math/9404226", "version": "v1", "published": "1994-04-15T00:00:00.000Z", "updated": "1994-04-15T00:00:00.000Z", "title": "Densities of ultraproducts of Boolean algebras", "authors": [ "Sabine Koppelberg", "Saharon Shelah" ], "journal": "Canad. J. Math. 47 (1995), 132--145", "categories": [ "math.LO", "math.GN" ], "abstract": "We answer three problems by J. D. Monk on cardinal invariants of Boolean algebras. Two of these are whether taking the algebraic density pi(A), resp. the topological density d(A), of a Boolean algebra A commutes with formation of ultraproducts; the third one compares the number of endomorphisms and of ideals of a Boolean algebra.", "revisions": [ { "version": "v1", "updated": "1994-04-15T00:00:00.000Z" } ], "analyses": { "keywords": [ "boolean algebra", "ultraproducts", "algebraic density pi", "cardinal invariants", "topological density" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "1994math......4226K" } } }