Brunner, Norbert Dedekind-Endlichkeit und Wohlordenbarkeit. (German) Zbl 0481.03030 Monatsh. Math. 94, 9-31 (1982). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 9 Documents MSC: 03E25 Axiom of choice and related propositions 03E35 Consistency and independence results 54A35 Consistency and independence results in general topology 54D65 Separability of topological spaces 54D20 Noncompact covering properties (paracompact, Lindelöf, etc.) Keywords:D-finite sets; wellordered spaces; permutation models; Mostowski-lemma; topological cardinal functions; Dedekind-finite subset PDFBibTeX XMLCite \textit{N. Brunner}, Monatsh. Math. 94, 9--31 (1982; Zbl 0481.03030) Full Text: DOI EuDML References: [1] Aczel, J.: Realisation of topologies. Publ. Math. Debrecen3, 11-15 (1963). [2] Blass, A.: Ramsey’s theorem. J. Symb. Logic42, 387-390 (1977). · Zbl 0374.02037 · doi:10.2307/2272866 [3] Brunner, N.: Sequential compactness and AC. Notre Dame J. F. Logic. (Im Druck.) · Zbl 0464.03045 [4] Brunner, N.: Geordnete Läuchli Kontinuen. Fund. Math. (Im Druck.) · Zbl 0569.54006 [5] Cigler, J., Reichel, H. C.: Topologie. Mannheim: Bibliograph. Inst. 1978. [6] Comfort, W. W.: A Theorem of Stone Cech type without AC. Fund. Math.63, 97-100 (1968). · Zbl 0185.26401 [7] Engelking, R.: General Topology. Warszawa: PWN ? Polish Sci. Publ. 1977. [8] Esenin-Volpin, A. S.: The unprovability of Souslin’s hypothesis without AC. (Russian.) Dokl. Akad. Nauk SSSR96, 9-12 (1954). [9] Felgner, U.: Models of ZF. Lect. Notes Math. 223. Berlin-Heidelberg-New York: Springer. 1971. · Zbl 0269.02029 [10] Felgner, U., Jech, T. J.: Variants of AC. Fund. Math.79, 79-85 (1973). · Zbl 0259.02052 [11] Halpern, J. D.: A question of Tarski and a maximal theorem of Kurepa. Pac. J. Math.41, 111-121 (1972). · Zbl 0241.02023 [12] Hickman, J. L.: Groups in models of set theory. Bull. Austr. Math. Soc.14, 199-232 (1976). · Zbl 0324.02055 · doi:10.1017/S0004972700025041 [13] Howard, P. E.: Limitations on FM. J. Symb. Logic38, 416-422 (1973). · Zbl 0325.02043 · doi:10.2307/2273037 [14] Howard, P. E., Rubin, J. E.: AC and linear order. Fund. Math.97, 111-122 (1977). · Zbl 0365.02051 [15] Jech, T. J.: Eine Bemerkungzum AC. ?asopis P?st. Mat.93, 30-31 (1968). · Zbl 0167.27402 [16] Jech, T. J.: The Axion of Choice. Amsterdam-London: North Holland. 1973. · Zbl 0259.02051 [17] Juhasz, I.: Cardinal Functions in Topology. Amsterdam: Math. Centrum. 1980. [18] Kinna, W., Wagner, K.: Abschwächung des AC. Fund. Math.42, 75-82 (1955). · Zbl 0065.28402 [19] Kleinberg, E. M.: Ramsey’s theorem. J. Symb. Logic34, 205-206 (1969). · Zbl 0185.01501 · doi:10.2307/2271095 [20] Kurepa, G. D.: Cartesian multiplication and cellularity. Publ. Inst. Math. (Beograd)2, 121-139 (1962). · Zbl 0127.25003 [21] Läuchli, H.: AC in der Algebra. Comm. Math. Helv.37, 1-18 (1962). · Zbl 0108.01002 · doi:10.1007/BF02566957 [22] Levy, A.: Definition of finiteness. Fund. Math.46, 1-13 (1958). [23] Levy, A.: Consequences of AC. Fund. Math.54, 135-157 (1964). · Zbl 0126.02201 [24] Lutzer, D. J.: Pixley Roy Topologies. Topol. Conf. Univ. Oklahoma 1978, pp. 139-158. Auburn, Alabama: Auburn Univ. 1979. [25] Pincus, D.: Independence proofs. Fund. Math.92, 113-130 (1976). · Zbl 0438.03051 [26] Simon, P.: Cardinal invariants. Comm. Math. Univ. Carolinae14, 205-213 (1973). · Zbl 0258.54003 [27] Soundararajan, T.: WeaklyT 2 spaces. Proc. Conf. Kanpur 1968, pp. 301-307. Prague: Academia. 1971. [28] Truss, J. K.:D-finite cardinals. Fund. Math.84, 187-208 (1974). · Zbl 0292.02049 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.