{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,9,28]],"date-time":"2023-09-28T15:40:07Z","timestamp":1695915607591},"reference-count":1,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2006,11,13]],"date-time":"2006-11-13T00:00:00Z","timestamp":1163376000000},"content-version":"vor","delay-in-days":5430,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Mathematical Logic Qtrly"],"published-print":{"date-parts":[[1992,1]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>Shelah has shown (see [1]) that the number <jats:italic>d<\/jats:italic>, the smallest cardinality of a dominating family, is less than or equal to the number <jats:italic>i<\/jats:italic>, the smallest cardinality of a maximal independent family on \u03c9. This was done using a downward L\u00f6wenheim\u2010Skolem argument. Thus it is interesting to find a direct \u201celementary\u201d proof. Here we show that this can be done.<\/jats:p>","DOI":"10.1002\/malq.19920380130","type":"journal-article","created":{"date-parts":[[2007,5,29]],"date-time":"2007-05-29T00:45:34Z","timestamp":1180399534000},"page":"325-326","source":"Crossref","is-referenced-by-count":0,"title":["A DIRECT PROOF OF A RESULT OF SHELAH"],"prefix":"10.1002","volume":"38","author":[{"given":"Martin","family":"Weese","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2006,11,13]]},"reference":[{"key":"e_1_2_1_2_2","unstructured":"Vaughan V. Small uncountable cardinals and topology. Preprint."}],"container-title":["Mathematical Logic Quarterly"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fmalq.19920380130","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/malq.19920380130","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,9,27]],"date-time":"2023-09-27T20:33:58Z","timestamp":1695846838000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/malq.19920380130"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1992,1]]},"references-count":1,"journal-issue":{"issue":"1","published-print":{"date-parts":[[1992,1]]}},"alternative-id":["10.1002\/malq.19920380130"],"URL":"https:\/\/doi.org\/10.1002\/malq.19920380130","archive":["Portico"],"relation":{},"ISSN":["0942-5616","1521-3870"],"issn-type":[{"value":"0942-5616","type":"print"},{"value":"1521-3870","type":"electronic"}],"subject":[],"published":{"date-parts":[[1992,1]]}}}