Topologies on spaces of subsets
HTML articles powered by AMS MathViewer
- by Ernest Michael PDF
- Trans. Amer. Math. Soc. 71 (1951), 152-182 Request permission
References
- N. Bourbaki, Éléments de mathématique. Part I. Les structures fondamentales de l’analyse. Livre III. Topologie générale. Chapitres I et II, Actualités Scientifiques et Industrielles [Current Scientific and Industrial Topics], No. 858, Hermann & Cie, Paris, 1940 (French). MR 0004747 —, Topologie generale, Paris, Hermann, 1942, chaps. 3 and 4. —, Topologie generale, Paris, Hermann 1948, chap. 9.
- Robert Brisac, Sur les fonctions multiformes, C. R. Acad. Sci. Paris 224 (1947), 92–94 (French). MR 18720
- G. Choquet, Convergences, Ann. Univ. Grenoble. Sect. Sci. Math. Phys. (N.S.) 23 (1948), 57–112. MR 0025716
- Samuel Eilenberg, Ordered topological spaces, Amer. J. Math. 63 (1941), 39–45. MR 3201, DOI 10.2307/2371274
- Orrin Frink Jr., Topology in lattices, Trans. Amer. Math. Soc. 51 (1942), 569–582. MR 6496, DOI 10.1090/S0002-9947-1942-0006496-X
- David Gale, Compact sets of functions and function rings, Proc. Amer. Math. Soc. 1 (1950), 303–308. MR 36503, DOI 10.1090/S0002-9939-1950-0036503-X H. Hahn, Reele Funktionen, Akademische Verlagsgesellschaft, Leipzig, 1932. F. Hausdorff, Mengenlehre, 3d ed., Springer, Berlin, 1927.
- J. L. Kelley, Hyperspaces of a continuum, Trans. Amer. Math. Soc. 52 (1942), 22–36. MR 6505, DOI 10.1090/S0002-9947-1942-0006505-8 C. Kuratowski, Topologie I, Monografje Matematiczne, Warsaw, 1933. —, Les fonctions semi-continues dans l’espace des ensembles fermes, Fund. Math. vol. 18 (1932) pp. 148-160.
- Leopold Vietoris, Kontinua zweiter Ordnung, Monatsh. Math. Phys. 33 (1923), no. 1, 49–62 (German). MR 1549268, DOI 10.1007/BF01705590 —, Kontinua zweiler Ordnung, Monatshefte für Mathematik und Physik vol. 33 (1923) pp. 49-62. A. Weil, Sur les espace a structure uniforme et sur la topologie generale, Paris, Hermann, 1937.
Additional Information
- © Copyright 1951 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 71 (1951), 152-182
- MSC: Primary 56.0X
- DOI: https://doi.org/10.1090/S0002-9947-1951-0042109-4
- MathSciNet review: 0042109