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Article

Charatonik, Janusz J. ; Charatonik, Włodzimierz J.
Smoothness and the property of Kelley. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 41 (2000), issue 1, pp. 123-132
MSC: 54F15, 54F50 | MR 1756932 | Zbl 1037.54506
Keywords:
arcwise connected; continuum; dendroid; property of Kelley; smooth
Summary:
Interrelations between smoothness of a continuum at a point, pointwise smoothness, the property of Kelley at a point and local connectedness are studied in the paper.
References:
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[2] Czuba S.T.: On dendroids with Kelley's property. Proc. Amer. Math. Soc. 102 (1988), 728-730. MR 0929011 | Zbl 0648.54030
[3] Kuratowski K.: Topology. vol. 1 Academic Press and PWN (1966). MR 0217751 | Zbl 0163.17002
[4] Kuratowski K.: Topology. vol. 2 Academic Press and PWN (1968). MR 0259836
[5] Maćkowiak T.: On smooth continua. Fund. Math. 85 (1974), 79-95. MR 0365532
[6] Nadler S.B., Jr.: Hyperspaces of sets. M. Dekker (1978). MR 0500811 | Zbl 0432.54007
[7] Wardle R.W.: On a property of J. L. Kelley. Houston J. Math. 3 (1977), 291-299. MR 0458379 | Zbl 0355.54025
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