PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.) Vol. 47(61), pp. 127131 (1990) 

CONCERNING SPLITTABILITY AND PERFECT MAPPINGSA. V. Arhangel'skii and Lj. D. KocinacChair of General Topology and Geometry, Department of Mathematics, Moscow State University, Moscow, USSR and Filozofski fakultet, Nis, YugoslaviaAbstract: We consider the following question: let a space $X$ admits a perfect mapping onto a space $Y$ from some class $\Cal P$ of topological spaces and let $X$ be splittable over $\Cal P$. Does $X$ belong to $\Cal P$? Classification (MSC2000): 54C10, 54D30, 54D55, 54E18, 54E30 Full text of the article:
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