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JOURNALS // Problemy Analiza — Issues of Analysis // Archive

Tr. Petrozavodsk. Gos. Univ. Ser. Mat., 2004 Issue 11, Pages 3–8 (Mi pa63)

О носителях максимальных сцепленных систем

E. V. Vakulova

Petrozavodsk State University, Faculty of Mathematics

Abstract: This article is devoted to the functor of superextension. By definition, the superextansion of a compact space consist of all maximal linked systems of that space. It is well known that the support of a maximal linked system coincides with the closed union of all its elements that are minimal with respect to inclusion. In this work it is shown by way of a counterexample that the union itself is not necessarily closed.

UDC: 515.142.275



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