{ "id": "1903.07139", "version": "v1", "published": "2019-03-17T17:55:49.000Z", "updated": "2019-03-17T17:55:49.000Z", "title": "An Alternative Proof of Steinhaus Theorem", "authors": [ "Arpan Sadhukhan" ], "comment": "Accepted in American Mathematical Monthly", "categories": [ "math.CA" ], "abstract": "In measure theory, Steinhaus theorem is a result that deals with a property of the difference between two sets of positive measure. We give a simple elementary proof of the result.", "revisions": [ { "version": "v1", "updated": "2019-03-17T17:55:49.000Z" } ], "analyses": { "subjects": [ "28A05" ], "keywords": [ "steinhaus theorem", "alternative proof", "simple elementary proof", "measure theory" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }