{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,11]],"date-time":"2026-03-11T21:53:25Z","timestamp":1773266005277,"version":"3.50.1"},"reference-count":21,"publisher":"Wiley","issue":"3","license":[{"start":{"date-parts":[[2006,11,13]],"date-time":"2006-11-13T00:00:00Z","timestamp":1163376000000},"content-version":"vor","delay-in-days":3238,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Mathematical Logic Qtrly"],"published-print":{"date-parts":[[1998,1]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>We investigate the set theoretical strength of some properties of normality, including Urysohn's Lemma, Tietze\u2010Urysohn Extension Theorem, normality of disjoint unions of normal spaces, and normality of <jats:italic>F<\/jats:italic><jats:sub>\u03c3<\/jats:sub> subsets of normal spaces.<\/jats:p>","DOI":"10.1002\/malq.19980440309","type":"journal-article","created":{"date-parts":[[2007,5,31]],"date-time":"2007-05-31T08:19:58Z","timestamp":1180599598000},"page":"367-382","source":"Crossref","is-referenced-by-count":11,"title":["Versions of Normality and Some Weak Forms of the Axiom of Choice"],"prefix":"10.1002","volume":"44","author":[{"given":"Paul","family":"Howard","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Kyriakos","family":"Keremedis","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Herman","family":"Rubin","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jean E.","family":"Rubin","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2006,11,13]]},"reference":[{"key":"e_1_2_1_2_2","doi-asserted-by":"crossref","first-page":"31","DOI":"10.1090\/S0002-9947-1979-0542870-6","article-title":"Injectivity, projectivity, and the axiom of choice","volume":"255","author":"Blass A.","year":"1979","journal-title":"Trans. Amer. Math. Soc."},{"key":"e_1_2_1_3_2","doi-asserted-by":"publisher","DOI":"10.4064\/fm-117-1-67-73"},{"key":"e_1_2_1_4_2","first-page":"149","article-title":"Permutation models and topological groups","volume":"76","author":"Brunner N.","year":"1986","journal-title":"Rend. Sem. Mat. Univ. Padova"},{"key":"e_1_2_1_5_2","doi-asserted-by":"publisher","DOI":"10.2307\/2045582"},{"key":"e_1_2_1_6_2","doi-asserted-by":"crossref","first-page":"325","DOI":"10.4064\/fm-56-3-325-345","article-title":"Applications of forcing and generic sets","volume":"56","author":"Feferman S.","year":"1965","journal-title":"Fund. Math."},{"key":"e_1_2_1_7_2","doi-asserted-by":"publisher","DOI":"10.2307\/2274230"},{"key":"e_1_2_1_8_2","doi-asserted-by":"publisher","DOI":"10.1016\/0166-8641(95)90010-1"},{"key":"e_1_2_1_9_2","doi-asserted-by":"publisher","DOI":"10.1002\/malq.19960420133"},{"key":"e_1_2_1_10_2","unstructured":"Howard P. andJ. E.Rubin Weak forms of AC. In preparation."},{"key":"e_1_2_1_11_2","doi-asserted-by":"publisher","DOI":"10.1305\/ndjfl\/1093634567"},{"key":"e_1_2_1_12_2","volume-title":"The Axiom of Choice","author":"Jech T. J.","year":"1973"},{"key":"e_1_2_1_13_2","volume-title":"General Topology","author":"Kelley J. L.","year":"1975"},{"key":"e_1_2_1_14_2","doi-asserted-by":"publisher","DOI":"10.1305\/ndjfl\/1093636518"},{"key":"e_1_2_1_15_2","volume-title":"Set Theory: An Introduction to Independence Proofs","author":"Kunen K.","year":"1980"},{"key":"e_1_2_1_16_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF02566957"},{"key":"e_1_2_1_17_2","doi-asserted-by":"publisher","DOI":"10.4064\/fm-50-5-475-483"},{"key":"e_1_2_1_18_2","unstructured":"Morillon M. Topologie Analyse Nonstandard et Axiome du Choix. Thesis Universit\u00e9 Blaise Pascal1988."},{"key":"e_1_2_1_19_2","volume-title":"Topology: A First Course","author":"Munkres J. R.","year":"1975"},{"key":"e_1_2_1_20_2","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9904-1947-08858-3"},{"key":"e_1_2_1_21_2","volume-title":"General Topology","author":"Willard S.","year":"1968"},{"key":"e_1_2_1_22_2","volume-title":"Combinatorial Set Theory","author":"Williams N. W.","year":"1977"}],"container-title":["Mathematical Logic Quarterly"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fmalq.19980440309","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/malq.19980440309","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,10,29]],"date-time":"2023-10-29T00:50:23Z","timestamp":1698540623000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/malq.19980440309"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1998,1]]},"references-count":21,"journal-issue":{"issue":"3","published-print":{"date-parts":[[1998,1]]}},"alternative-id":["10.1002\/malq.19980440309"],"URL":"https:\/\/doi.org\/10.1002\/malq.19980440309","archive":["Portico"],"relation":{},"ISSN":["0942-5616","1521-3870"],"issn-type":[{"value":"0942-5616","type":"print"},{"value":"1521-3870","type":"electronic"}],"subject":[],"published":{"date-parts":[[1998,1]]}}}