{ "id": "1902.08677", "version": "v1", "published": "2019-02-22T21:33:33.000Z", "updated": "2019-02-22T21:33:33.000Z", "title": "Ideals on countable sets: a survey with questions", "authors": [ "Carlos Uzcategui" ], "journal": "Ideals on countable sets: a survey with questions, Rev. Integr. temas mat. 37 (2019), No. 1, 167-198", "doi": "10.18273/revint.v37n1-201900", "categories": [ "math.LO" ], "abstract": "An ideal on a set $X$ is a collection of subsets of $X$ closed under the operations of taking finite unions and subsets of its elements. Ideals are a very useful notion in topology and set theory and have been studied for a long time. We present a survey of results about ideals on countable sets and include many open questions.", "revisions": [ { "version": "v1", "updated": "2019-02-22T21:33:33.000Z" } ], "analyses": { "keywords": [ "countable sets", "long time", "set theory", "open questions", "finite unions" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }