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Strongly locally setwise homogeneous continua and their homeomorphism groups. (English) Zbl 0212.27602


MSC:

54F15 Continua and generalizations
57S05 Topological properties of groups of homeomorphisms or diffeomorphisms
Full Text: DOI

References:

[1] Beverly L. Brechner, On the dimensions of certain spaces of homeomorphisms, Trans. Amer. Math. Soc. 121 (1966), 516 – 548. · Zbl 0151.30601
[2] James V. Whittaker, On isomorphic groups and homeomorphic spaces, Ann. of Math. (2) 78 (1963), 74 – 91. · Zbl 0116.14501 · doi:10.2307/1970503
[3] R. D. Anderson, The algebraic simplicity of certain groups of homeomorphisms, Amer. J. Math. 80 (1958), 955 – 963. · Zbl 0090.38802 · doi:10.2307/2372842
[4] 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
[5] R. D. Anderson, On topological infinite deficiency, Michigan Math. J. 14 (1967), 365 – 383. · Zbl 0148.37202
[6] G. T. Whyburn, Topological characterization of the Sierpiński curve, Fund. Math. 45 (1958), 320 – 324. · Zbl 0081.16904
[7] S. Ulam and J. von Neumann, On the group of homeomorphisms of the surface of a sphere, Bull. Amer. Math. Soc. 53 (1947), 506. Abstract #283.
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