A convex metric for a locally connected continuum
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- by R. H. Bing PDF
- Bull. Amer. Math. Soc. 55 (1949), 812-819
References
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1. Gustav Beer, Beweis des Satzes, dass jede im kleinen zusammenhängende Kurve konvex metrisiert werden kann, Fund. Math. vol. 31 (1938) pp. 281-320.
- R. H. Bing, Extending a metric, Duke Math. J. 14 (1947), 511–519. MR 24609
- Orville G. Harrold Jr., Concerning the Convexification of Continuous Curves, Amer. J. Math. 61 (1939), no. 1, 210–216. MR 1507372, DOI 10.2307/2371400 4. C. Kuratowski and G. T. Whyburn, Sur les éléments cycliques et leurs applications, Fund. Math. vol. 16 (1930) pp. 305-331.
- Karl Menger, Untersuchungen über allgemeine Metrik, Math. Ann. 100 (1928), no. 1, 75–163 (German). MR 1512479, DOI 10.1007/BF01448840 6. R. L. Wilder, On the imbedding of subsets of a metric space in Jordan continua, Fund. Math. vol. 19 (1932) pp. 45-64.
- 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. MR 1501509, DOI 10.1090/S0002-9947-1929-1501509-1
- Edwin E. Moise, Grille decomposition and convexification theorems for compact metric locally connected continua, Bull. Amer. Math. Soc. 55 (1949), 1111–1121. MR 35430, DOI 10.1090/S0002-9904-1949-09336-9
- R. H. Bing, Partitioning a set, Bull. Amer. Math. Soc. 55 (1949), 1101–1110. MR 35429, DOI 10.1090/S0002-9904-1949-09334-5
Additional Information
- Journal: Bull. Amer. Math. Soc. 55 (1949), 812-819
- DOI: https://doi.org/10.1090/S0002-9904-1949-09298-4
- MathSciNet review: 0031712