{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,11]],"date-time":"2026-03-11T17:18:04Z","timestamp":1773249484676,"version":"3.50.1"},"reference-count":9,"publisher":"Cambridge University Press (CUP)","issue":"2","license":[{"start":{"date-parts":[[2014,3,12]],"date-time":"2014-03-12T00:00:00Z","timestamp":1394582400000},"content-version":"unspecified","delay-in-days":4302,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. symb. log."],"published-print":{"date-parts":[[2002,6]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>We prove the following theorems:<\/jats:p><jats:p>1. If<jats:italic>X<\/jats:italic>\u2286 2<jats:sup><jats:italic>\u03c9<\/jats:italic><\/jats:sup>is a<jats:italic>\u03b3<\/jats:italic>-set and<jats:italic>Y<\/jats:italic>\u22862<jats:italic><jats:sup>\u03c9<\/jats:sup><\/jats:italic>is a strongly meager set, then<jats:italic>X<\/jats:italic>+<jats:italic>Y<\/jats:italic>is Ramsey null.<\/jats:p><jats:p>2. If<jats:italic>X<\/jats:italic>\u22862<jats:italic><jats:sup>\u03c9<\/jats:sup><\/jats:italic>is a<jats:italic>\u03b3<\/jats:italic>-set and<jats:italic>Y<\/jats:italic>belongs to the class of<jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" mime-subtype=\"gif\" xlink:type=\"simple\" xlink:href=\"S0022481200009610_inline1\"\/>sets, then the algebraic sum<jats:italic>X<\/jats:italic>+<jats:italic>Y<\/jats:italic>is an<jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" mime-subtype=\"gif\" xlink:type=\"simple\" xlink:href=\"S0022481200009610_inline1\"\/>set as well.<\/jats:p><jats:p>3. Under CH there exists a set<jats:italic>X<\/jats:italic>\u2208<jats:italic>MGR<\/jats:italic>* which is not Ramsey null.<\/jats:p>","DOI":"10.2178\/jsl\/1190150097","type":"journal-article","created":{"date-parts":[[2007,12,13]],"date-time":"2007-12-13T19:13:31Z","timestamp":1197573211000},"page":"547-556","source":"Crossref","is-referenced-by-count":6,"title":["On the Ramseyan properties of some special subsets of 2<sup><i>\u03c9<\/i><\/sup>and their algebraic sums"],"prefix":"10.1017","volume":"67","author":[{"given":"Andrzej","family":"Nowik","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Tomasz","family":"Weiss","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"56","published-online":{"date-parts":[[2014,3,12]]},"reference":[{"key":"S0022481200009610_ref002","doi-asserted-by":"publisher","DOI":"10.4064\/fm-136-3-179-185"},{"key":"S0022481200009610_ref009","first-page":"853","article-title":"Sommes vectorielles d\u00e7ensembles de mesure nulle","volume":"280","author":"Talagrand","year":"1975","journal-title":"Comptes Rendus de l' Acad\u00e9mie des Sciences, Paris"},{"key":"S0022481200009610_ref008","doi-asserted-by":"publisher","DOI":"10.1007\/BF02808209"},{"key":"S0022481200009610_ref007","doi-asserted-by":"crossref","first-page":"135","DOI":"10.4064\/fm-147-2-135-155","article-title":"Parametrized Cicho\u0144's diagram and small sets","volume":"147","author":"Pawlikowski","year":"1995","journal-title":"Fundamenta Mathematicae"},{"key":"S0022481200009610_ref001","doi-asserted-by":"crossref","DOI":"10.1201\/9781439863466","volume-title":"Set Theory","author":"Bartoszy\u0144ski","year":"1995"},{"key":"S0022481200009610_ref003","doi-asserted-by":"crossref","first-page":"185","DOI":"10.2307\/44153408","article-title":"Classical theory of totally imperfect spaces","volume":"7","author":"Brown","year":"1981","journal-title":"Real Analysis Exchange"},{"key":"S0022481200009610_ref004","first-page":"301","volume":"63","author":"Nowik","year":"1998","journal-title":"The algebraic sum of sets of real numbers with strong measure zero sets"},{"key":"S0022481200009610_ref005","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9939-00-05499-X"},{"key":"S0022481200009610_ref006","doi-asserted-by":"publisher","DOI":"10.1007\/BF02761100"}],"container-title":["Journal of Symbolic Logic"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0022481200009610","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,2,20]],"date-time":"2024-02-20T10:41:53Z","timestamp":1708425713000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0022481200009610\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2002,6]]},"references-count":9,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2002,6]]}},"alternative-id":["S0022481200009610"],"URL":"https:\/\/doi.org\/10.2178\/jsl\/1190150097","relation":{},"ISSN":["0022-4812","1943-5886"],"issn-type":[{"value":"0022-4812","type":"print"},{"value":"1943-5886","type":"electronic"}],"subject":[],"published":{"date-parts":[[2002,6]]}}}