{ "id": "math/9606229", "version": "v1", "published": "1996-06-15T00:00:00.000Z", "updated": "1996-06-15T00:00:00.000Z", "title": "Existence of almost free abelian groups and reflection of stationary set", "authors": [ "Saharon Shelah" ], "journal": "Math. Japon. 45 (1997), 1--14", "categories": [ "math.LO", "math.RA" ], "abstract": "section 2: We answer a question of Mekler Eklof on the closure operations of the incompactness spectrum. We answer a question of Foreman and Magidor on reflection of stationary subsets of S_{< aleph_2}(lambda) = {a subseteq lambda : |a| < aleph_2}]. section 3 - NPT is not transitive. We prove NPT(lambda, mu) + NPT(mu, kappa) not => NPT(lambda, kappa)", "revisions": [ { "version": "v1", "updated": "1996-06-15T00:00:00.000Z" } ], "analyses": { "keywords": [ "free abelian groups", "stationary set", "reflection", "stationary subsets", "incompactness spectrum" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "1996math......6229S" } } }