{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,11]],"date-time":"2025-09-11T20:57:15Z","timestamp":1757624235169,"version":"3.44.0"},"reference-count":0,"publisher":"SAGE Publications","issue":"1","license":[{"start":{"date-parts":[[2013,2,1]],"date-time":"2013-02-01T00:00:00Z","timestamp":1359676800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Computability"],"published-print":{"date-parts":[[2013,2]]},"abstract":"<jats:p> As the title suggests we are going to show that Weak K\u00f6nig\u2019s Lemma implies the uniform continuity theorem; to be more precise the uniform continuity theorem for functions $[0,1] \\to \\R$ . This improves upon a result by J. Berger who has proven this implication for functions $[0,1] \\to \\N$ . <\/jats:p>","DOI":"10.3233\/com-13009","type":"journal-article","created":{"date-parts":[[2019,12,2]],"date-time":"2019-12-02T15:00:06Z","timestamp":1575298806000},"page":"9-13","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":1,"title":["Weak K\u00f6nig\u2019s Lemma Implies the Uniform Continuity Theorem"],"prefix":"10.1177","volume":"2","author":[{"given":"Hannes","family":"Diener","sequence":"first","affiliation":[{"name":"University of Siegen, Germany, diener@math.uni-siegen.de"}]}],"member":"179","published-online":{"date-parts":[[2013,2,1]]},"container-title":["Computability"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/COM-13009","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/COM-13009","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,9,9]],"date-time":"2025-09-09T12:22:20Z","timestamp":1757420540000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/full\/10.3233\/COM-13009"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,2]]},"references-count":0,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2013,2]]}},"alternative-id":["10.3233\/COM-13009"],"URL":"https:\/\/doi.org\/10.3233\/com-13009","relation":{},"ISSN":["2211-3568","2211-3576"],"issn-type":[{"type":"print","value":"2211-3568"},{"type":"electronic","value":"2211-3576"}],"subject":[],"published":{"date-parts":[[2013,2]]}}}