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Williams, R. F.

Reduction of open mappings. (English) Zbl 0073.17901

Proc. Am. Math. Soc. 7, 312-318 (1956).
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Keywords:

Topology
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\textit{R. F. Williams}, Proc. Am. Math. Soc. 7, 312--318 (1956; Zbl 0073.17901)
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References:

[1] R. D. Anderson, On monotone interior mappings in the plane, Trans. Amer. Math. Soc. 73 (1952), 211 – 222. · Zbl 0048.41104
[2] D. van Dantzig, Über topologisch homogene Kontinua, Fund. Math. vol. 15 (1930) p. 102. · JFM 56.1130.01
[3] Eldon Dyer, Irreducibility of the sum of the elements of a continuous collection of continua, Duke Math. J. 20 (1953), 589 – 592. · Zbl 0052.39603
[4] Mary-Elizabeth Hamstrom, Concerning continuous collections of continuous curves, Proc. Amer. Math. Soc. 4 (1953), 240 – 243. · Zbl 0052.19001
[5] B. Knaster, Un continu irréductible à décomposition continue en tranches, Fund. Math. vol. 25 (1935) p. 577. · Zbl 0012.31904
[6] Edwin E. Moise, A theorem on monotone interior transformations, Bull. Amer. Math. Soc. 55 (1949), 810 – 811. · Zbl 0035.39201
[7] J. Rozanska, Über stetige Abbildungen eines Elementes, Fund. Math. vol. 28 (1937) p. 266. · Zbl 0016.18301
[8] G. T. Whyburn, Arc-Preserving Transformations, Amer. J. Math. 58 (1936), no. 2, 305 – 312. · JFM 62.0691.02 · doi:10.2307/2371040
[9] G. T. Whyburn, On irreducibility of transformations, Amer. J. Math. 61 (1939), 820 – 822. · JFM 65.0886.02 · doi:10.2307/2371627
[10] R. F. Williams, Local properties of open mappings, Duke Math. J. 22 (1955), 339 – 345. · Zbl 0065.38201
[11] Wallace Alvin Wilson, On the Structure of a Continuum, Limited and Irreducible Between Two Points, Amer. J. Math. 48 (1926), no. 3, 147 – 168. · JFM 52.0602.01 · doi:10.2307/2370590
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