{ "id": "2103.03343", "version": "v1", "published": "2021-03-04T21:36:40.000Z", "updated": "2021-03-04T21:36:40.000Z", "title": "A converse of the Banach contraction principle for partial metric spaces and the continuum hypothesis", "authors": [ "Piotr Maćkowiak" ], "categories": [ "math.FA", "math.GN" ], "abstract": "A version of the Bessaga inverse of the Banach contraction principle for partial metric spaces is presented. Equivalence of that version and the continuum hypothesis is shown as well.", "revisions": [ { "version": "v1", "updated": "2021-03-04T21:36:40.000Z" } ], "analyses": { "subjects": [ "47H09", "47H10", "54E50" ], "keywords": [ "banach contraction principle", "partial metric spaces", "continuum hypothesis", "bessaga inverse", "equivalence" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }