{ "id": "2010.06814", "version": "v1", "published": "2020-10-14T05:13:15.000Z", "updated": "2020-10-14T05:13:15.000Z", "title": "Club isomorphisms of Kurepa trees and large cardinals", "authors": [ "Hossein Lamei Ramandi" ], "categories": [ "math.LO" ], "abstract": "We show that club isomorphism of Kurepa trees have consequences about large cardinals. More precisely, assume that every two Kurepa trees are club isomorphic. Then $\\omega_2$ is inaccessible in the constructible universe $\\textbf{L}$.", "revisions": [ { "version": "v1", "updated": "2020-10-14T05:13:15.000Z" } ], "analyses": { "keywords": [ "kurepa trees", "club isomorphism", "large cardinals" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }