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Our main result asserts that if \u03ba is an uncountable strongly compact cardinal and<jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" mime-subtype=\"gif\" xlink:type=\"simple\" xlink:href=\"S002248120000414X_inline2\" \/>, then<jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" mime-subtype=\"gif\" xlink:type=\"simple\" xlink:href=\"S002248120000414X_inline3\" \/>does not hold.<\/jats:p>","DOI":"10.2178\/jsl\/1230396744","type":"journal-article","created":{"date-parts":[[2008,12,27]],"date-time":"2008-12-27T16:52:45Z","timestamp":1230396765000},"page":"729-751","source":"Crossref","is-referenced-by-count":2,"title":["Weak square bracket relations 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