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The Kline sphere characterization problem. (English) Zbl 0060.40501


Keywords:

topology
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[1] Dick Wick Hall, A partial solution of a problem of J. R. Kline, Duke Math. J. 9 (1942), 893 – 901. · Zbl 0060.40502
[2] Dick Wick Hall, A note on primitive skew curves, Bull. Amer. Math. Soc. 49 (1943), 935 – 936. · Zbl 0060.40503
[3] F. B. Jones, Bull. Amer. Math. Soc. Abstract 48-11-340.
[4] C. Kuratowski, Une caractérisation topologique de la surface de la sphère, Fund. Math. vol. 13 (1929) pp. 307-318.
[5] Leo Zippin, A study of continuous curves and their relation to the Janiszewski-Mullikin theorem, Trans. Amer. Math. Soc. 31 (1929), no. 4, 744 – 770.
[6] Leo Zippin, On Continuous Curves and the Jordan Curve Theorem, Amer. J. Math. 52 (1930), no. 2, 331 – 350. · doi:10.2307/2370687
[7] R. L. Wilder, A converse of the Jordan-Brouwer separation theorem in three dimensions, Trans. Amer. Math. Soc. 32 (1930), no. 4, 632 – 657.
[8] Schieffelin Claytor, Topological immersion of Peanian continua in a spherical surface, Ann. of Math. (2) 35 (1934), no. 4, 809 – 835. · Zbl 0010.27602 · doi:10.2307/1968496
[9] Robert L. Moore, Concerning a set of postulates for plane analysis situs, Trans. Amer. Math. Soc. 20 (1919), no. 2, 169 – 178.
[10] Egbertus R. van Kampen, On some characterizations of 2-dimensional manifolds, Duke Math. J. 1 (1935), no. 1, 74 – 93. · Zbl 0011.27502 · doi:10.1215/S0012-7094-35-00108-9
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