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Michael, Ernest

Topologies on spaces of subsets. (English) Zbl 0043.37902

Trans. Am. Math. Soc. 71, 152-182 (1951).
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Topology
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\textit{E. Michael}, Trans. Am. Math. Soc. 71, 152--182 (1951; Zbl 0043.37902)
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[1] N. Bourbaki, Éléments de mathématique. Part I. Les structures fondamentales de l’analyse. Livre III. Topologie générale. Chapitres I et II, Actual. Sci. Ind., no. 858, Hermann & Cie., Paris, 1940 (French). · Zbl 0030.24102
[2] -, Topologie generale, Paris, Hermann, 1942, chaps. 3 and 4.
[3] -, Topologie generale, Paris, Hermann 1948, chap. 9.
[4] Robert Brisac, Sur les fonctions multiformes, C. R. Acad. Sci. Paris 224 (1947), 92 – 94 (French). · Zbl 0029.32102
[5] G. Choquet, Convergences, Ann. Univ. Grenoble. Sect. Sci. Math. Phys. (N.S.) 23 (1948), 57 – 112. · Zbl 0031.28101
[6] Samuel Eilenberg, Ordered topological spaces, Amer. J. Math. 63 (1941), 39 – 45. · Zbl 0024.19203 · doi:10.2307/2371274
[7] Orrin Frink Jr., Topology in lattices, Trans. Amer. Math. Soc. 51 (1942), 569 – 582. · Zbl 0061.39305
[8] David Gale, Compact sets of functions and function rings, Proc. Amer. Math. Soc. 1 (1950), 303 – 308. · Zbl 0037.35501
[9] H. Hahn, Reele Funktionen, Akademische Verlagsgesellschaft, Leipzig, 1932.
[10] F. Hausdorff, Mengenlehre, 3d ed., Springer, Berlin, 1927. · JFM 53.0169.01
[11] J. L. Kelley, Hyperspaces of a continuum, Trans. Amer. Math. Soc. 52 (1942), 22 – 36. · Zbl 0061.40107
[12] C. Kuratowski, Topologie I, Monografje Matematiczne, Warsaw, 1933. · JFM 59.0563.02
[13] -, Les fonctions semi-continues dans l’espace des ensembles fermes, Fund. Math. vol. 18 (1932) pp. 148-160. · Zbl 0004.20401
[14] Leopold Vietoris, Kontinua zweiter Ordnung, Monatsh. Math. Phys. 33 (1923), no. 1, 49 – 62 (German). · JFM 49.0141.02 · doi:10.1007/BF01705590
[15] -, Kontinua zweiler Ordnung, Monatshefte für Mathematik und Physik vol. 33 (1923) pp. 49-62.
[16] A. Weil, Sur les espace a structure uniforme et sur la topologie generale, Paris, Hermann, 1937. · JFM 63.0569.04
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