Mashburn, J. D. Three counterexamples concerning \(omega\)-chain completeness and fixed point properties. (English) Zbl 0451.06006 Proc. Edinb. Math. Soc., II. Ser. 24, 141-146 (1981). Reviewer: J. D. Mashburn Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 2 Documents MSC: 06A06 Partial orders, general 54C05 Continuous maps 06A05 Total orders Keywords:least fixed point property; chain complete partially ordered set; chain continuous functions PDFBibTeX XMLCite \textit{J. D. Mashburn}, Proc. Edinb. Math. Soc., II. Ser. 24, 141--146 (1981; Zbl 0451.06006) Full Text: DOI References: [1] Demarr, Colloq. Math. 13 pp 45– (1964) [2] Hoft, Canadian J. Math. 28 pp 992– (1976) · Zbl 0321.06002 · doi:10.4153/CJM-1976-097-0 [3] Abian, Canadian J. Math. 13 pp 78– (1961) · Zbl 0098.25502 · doi:10.4153/CJM-1961-007-5 [4] Wong, Canadian J. Math. 19 pp 617– (1966) · Zbl 0153.02702 · doi:10.4153/CJM-1967-054-4 [5] Wolk, Canadian J. Math. 9 pp 400– (1956) · Zbl 0086.04302 · doi:10.4153/CJM-1957-047-5 [6] Ward, Canadian J. Math. 9 pp 578– (1957) · Zbl 0079.26001 · doi:10.4153/CJM-1957-065-3 [7] DOI: 10.1016/0304-3975(79)90053-7 · Zbl 0401.18005 · doi:10.1016/0304-3975(79)90053-7 [8] Tarski, Pacific J. Math. 5 pp 285– (1955) · Zbl 0064.26004 · doi:10.2140/pjm.1955.5.285 [9] Smyth, The Category-Theoretic Solution of Recursive Domain Equations (1978) [10] Smtthson, Pacific J. Math. 45 pp 363– (1973) · Zbl 0248.06002 · doi:10.2140/pjm.1973.45.363 [11] DOI: 10.1137/0205037 · Zbl 0337.02018 · doi:10.1137/0205037 [12] DOI: 10.2307/2037805 · Zbl 0238.06003 · doi:10.2307/2037805 [13] Scott, Continuous Lattices (1972) · doi:10.1007/BFb0073967 [14] Pelczar, Ann. Pol. Math. 11 pp 199– (1961) [15] DOI: 10.1007/BF02485815 · Zbl 0332.06001 · doi:10.1007/BF02485815 [16] DOI: 10.2307/2315112 · Zbl 0155.03101 · doi:10.2307/2315112 [17] Davis, Pacific J. Math. 5 pp 311– (1955) · Zbl 0064.26101 · doi:10.2140/pjm.1955.5.311 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.