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On the dimension of certain spaces of homeomorphisms. (English) Zbl 0151.30601


MSC:

54F45 Dimension theory in general topology
54C35 Function spaces in general topology

Keywords:

topology
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References:

[1] R. D. Anderson, The group of all homeomorphisms of the universal curve, Abstract 323, Bull. Amer. Math. Soc. 63 (1957), p. 143.
[2] R. D. Anderson, One-dimensional continuous curves and a homogeneity theorem, Ann. of Math. (2) 68 (1958), 1 – 16. · Zbl 0083.17608 · doi:10.2307/1970040
[3] G. T. Whyburn, Topological characterization of the Sierpiński curve, Fund. Math. 45 (1958), 320 – 324. · Zbl 0081.16904
[4] -, Analytic topology, Amer. Math. Soc. Colloq. Publ. Vol. 28, Amer. Math. Soc. Providence, R. I., 1942; reprint 1955.
[5] Karl Menger, Kurventheorie, Teubner, Leipzig and Berlin, 1932. · JFM 58.1205.02
[6] Witold Hurewicz and Henry Wallman, Dimension Theory, Princeton Mathematical Series, v. 4, Princeton University Press, Princeton, N. J., 1941. · Zbl 0060.39808
[7] 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
[8] J. de Groot and R. J. Wille, Rigid continua and topological group-pictures, Arch. Math. 9 (1958), 441 – 446. · Zbl 0084.38402 · doi:10.1007/BF01898628
[9] J. de Groot, Groups represented by homeomorphism groups, Math. Ann. 138 (1959), 80 – 102. · Zbl 0087.37802 · doi:10.1007/BF01369667
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