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Bing, R. H.

Partitioning continuous curves. (English) Zbl 0048.41203

Bull. Am. Math. Soc. 58, 536-556 (1952).
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Cited in 17 Documents

Keywords:

topology
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[1] Gustav Beer, Beweis des Satzes, dass jede im kleinen zusammenhängende Kurve convex metrisiert werden kann, Fund. Math. vol. 31 (1938) pp. 281-320. · Zbl 0020.40402
[2] R. H. Bing, A characterization of 3-space by partitionings, Trans. Amer. Math. Soc. 70 (1951), 15 – 27. · Zbl 0042.41903
[3] R. H. Bing, A convex metric for a locally connected continuum, Bull. Amer. Math. Soc. 55 (1949), 812 – 819. · Zbl 0035.10801
[4] R. H. Bing, Complementary domains of continuous curves, Fund. Math. 36 (1949), 303 – 318. · Zbl 0039.39501
[5] R. H. Bing, Higher-dimensional hereditarily indecomposable continua, Trans. Amer. Math. Soc. 71 (1951), 267 – 273. · Zbl 0043.16901
[6] R. H. Bing, Partitioning a set, Bull. Amer. Math. Soc. 55 (1949), 1101 – 1110. · Zbl 0036.11702
[7] R. H. Bing, The Kline sphere characterization problem, Bull. Amer. Math. Soc. 52 (1946), 644 – 653. · Zbl 0060.40501
[8] R. H. Bing and E. E. Floyd, Coverings with connected intersections, Trans. Amer. Math. Soc. 69 (1950), 387 – 391. · Zbl 0039.39404
[9] L. M. Blumenthal, Distance geometries, University of Missouri Studies, vol. 13, No. 2, 1938. · JFM 64.1329.01
[10] Orville G. Harrold Jr., Concerning the Convexification of Continuous Curves, Amer. J. Math. 61 (1939), no. 1, 210 – 216. · Zbl 0020.07601 · doi:10.2307/2371400
[11] Witold Hurewicz and Henry Wallman, Dimension Theory, Princeton Mathematical Series, v. 4, Princeton University Press, Princeton, N. J., 1941. · Zbl 0060.39808
[12] C. Kuratowski and G. T. Whyburn, Sur les éléments cycliques et leurs applications, Fund. Math. vol. 16 (1930) pp. 305-331. · JFM 56.1138.02
[13] Solomon Lefschetz, Algebraic Topology, American Mathematical Society Colloquium Publications, v. 27, American Mathematical Society, New York, 1942. · Zbl 0061.39302
[14] Karl Menger, Untersuchungen über allgemeine Metrik, Math. Ann. 100 (1928), no. 1, 75 – 163 (German). · JFM 54.0622.02 · doi:10.1007/BF01448840
[15] Edwin E. Moise, Grille decomposition and convexification theorems for compact metric locally connected continua, Bull. Amer. Math. Soc. 55 (1949), 1111 – 1121. · Zbl 0036.11801
[16] Edwin E. Moise, A note of correction, Proc. Amer. Math. Soc. 2 (1951), 838. · Zbl 0045.12101
[17] R. L. Moore, Concerning connectedness im kleinen and a related property, Fund. Math. vol. 3 (1922) pp. 232-237. · JFM 48.0659.03
[18] R. L. Moore, Foundations of point set theory, Revised edition. American Mathematical Society Colloquium Publications, Vol. XIII, American Mathematical Society, Providence, R.I., 1962. · Zbl 0192.28901
[19] W. Sierpinski, Sur une condition pour qu’un continu soit une courbe jordanienne, Fund. Math. vol. 1 (1920) pp. 44-60. · JFM 47.0522.02
[20] Garth Thomas, Simultaneous partitionings, Bull. Amer. Math. Soc. Abstracts 57-4-366 and 57-6-553.
[21] Gordon Thomas Whyburn, Analytic Topology, American Mathematical Society Colloquium Publications, v. 28, American Mathematical Society, New York, 1942. · Zbl 0061.39301
[22] G. T. Whyburn, Concerning S-regions in locally connected continua, Fund. Math. vol. 20 (1933) pp. 131-139. · Zbl 0006.42701
[23] G. T. Whyburn, The existence of certain transformations, Duke Math. J. 5 (1939), 647 – 655. · JFM 65.0886.03
[24] Raymond Louis Wilder, Topology of Manifolds, American Mathematical Society Colloquium Publications, vol. 32, American Mathematical Society, New York, N. Y., 1949. · Zbl 0039.39602
[25] Leo Zippin, On Continuous Curves and the Jordan Curve Theorem, Amer. J. Math. 52 (1930), no. 2, 331 – 350. · JFM 56.0510.04 · doi:10.2307/2370687
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