Abstract
In this paper some problems concerning universality in families of n-dimensional rational spaces are given. Bibliography:17 titles.
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Literature Cited
L. E. Feggos, S. D. Iliadis, and S. S. Zafiridou, “Some families of planar rim-scattered spaces and universality,” Preprint.
D. N. Georgiou and S. D. Iliadis, “Rationaln-dimensional spaces and the property of universality,” Preprint.
W. Hurewicz, “Normalbereiche und Dimensionstheorie,”Math. Ann.,96, 736–764 (1927).
S. D. Iliadis, “Universal continuum for the class of completely regular continua,”Bull. Acad. Pol. Sci.,28, 603–607 (1980).
S. D. Iliadis, “Rim-finite spaces and the property of universality,”Houston J. Math.,12, 55–78 (1986).
S. D. Iliadis, “Rational spaces of a given rim-type and the property of universality,”Topology Proc.,11, 65–113 (1986).
S. D. Iliadis, “The rim-type of spaces and the property of universality,”Houston J. Math.,13, 373–388 (1987).
S. D. Iliadis, “Rational spaces and the property of universality,”Fund. Math.,131, 167–184 (1988).
S. D. Iliadis, “Universal spaces for some families of rim-scattered spaces,”Tsukuba J. Math.,16, 123–159 (1992).
S. D. Iliadis and S. S. Zafiridou, “Planar rational compacta and universality,”Fund. Math.,141, 109–118 (1992).
S. D. Iliadis and S. S. Zafiridou, “Rim-scattered spaces and the property of universality,” in:Topology, Theory and Applications II, Colloq. Math. Soc.,55, North-Holland, Amsterdam (1992).
K. Kuratowski,Topology, Vol. I, New York (1966).
J. C. Mayer and E. D. Tymchatyn, “Universal rational spaces,” Dissertationes Mathematicae CCXCIII, Warszawa (1990).
K. Menger,Kurventheorie, Teubner, Berlin, Leipzig (1932).
J. Nagata,Modern Dimension Theory, Helderman Verlag, Berlin, revised and extended edition (1983).
G. Nöbeling, “Über regular-eindimensionale Räume,”Math. Ann.,104, 81–91 (1931).
H. Reschovsky, “Über rationale Kurven,”Fund. Math.,15, 18–37 (1930).
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Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 208, 1993, pp. 98–102.
Translated by S. D. Iliadis.
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Iliadis, S.D. Some problems concerning universality in families ofn-Dimensional rational spaces. J Math Sci 81, 2515–2516 (1996). https://doi.org/10.1007/BF02362420
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DOI: https://doi.org/10.1007/BF02362420