{ "id": "0802.4185", "version": "v1", "published": "2008-02-28T12:27:26.000Z", "updated": "2008-02-28T12:27:26.000Z", "title": "Depth of Boolean algebras", "authors": [ "Saharon Shelah", "Shimon Garti" ], "journal": "Notre Dame Journal of Formal Logic, 52,3 (2011), pp. 307-314", "doi": "10.1215/00294527-1435474", "categories": [ "math.LO" ], "abstract": "We prove a Theorem about the relationship between the Depth of the ultraproduct of Boolean algebras, divided by an ultrafilter, and the products of the depths of each component. This answers (partly) an open problem of Monk.", "revisions": [ { "version": "v1", "updated": "2008-02-28T12:27:26.000Z" } ], "analyses": { "subjects": [ "06E05", "03G05" ], "keywords": [ "boolean algebras", "open problem", "relationship" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2008arXiv0802.4185S" } } }