{ "id": "1706.01409", "version": "v1", "published": "2017-06-05T16:25:11.000Z", "updated": "2017-06-05T16:25:11.000Z", "title": "On the spectra of Kurepa trees", "authors": [ "Márk Poór" ], "categories": [ "math.LO" ], "abstract": "We are interested in the possible set of cardinalities of Kurepa trees in models of $ZFC$ $+$ $CH$. In this paper we present a large class in which for each set $S$ we prove that it is consistent with $ZFC$ + $CH$ that $S$ is the set of cardinalities of Kurepa trees.", "revisions": [ { "version": "v1", "updated": "2017-06-05T16:25:11.000Z" } ], "analyses": { "keywords": [ "kurepa trees", "cardinalities", "large class" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }