Adequate families of sets and Corson compacts

Arkady G Leiderman; Genadij A Sokolov

Adequate families of sets and Corson compacts

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper we construct an example of a Corson compact X for which the space C (X) fails to he a Lindelof 22 -space. This example gives the negative answer for one problem of A.V. Arhangel skii. The notion of an adequate family is used. We establish its connection with the classes of
Sberlein and Corson compacts and also with some set theoretic problems.

Original language	English
Pages (from-to)	233-246
Number of pages	14
Journal	Commentationes Mathematicae Universitatis Carolinae
Volume	25
Issue number	2
State	Published - 1984

Cite this

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abstract = "In this paper we construct an example of a Corson compact X for which the space C (X) fails to he a Lindelof 22 -space. This example gives the negative answer for one problem of A.V. Arhangel skii. The notion of an adequate family is used. We establish its connection with the classes of Sberlein and Corson compacts and also with some set theoretic problems. ",

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AB - In this paper we construct an example of a Corson compact X for which the space C (X) fails to he a Lindelof 22 -space. This example gives the negative answer for one problem of A.V. Arhangel skii. The notion of an adequate family is used. We establish its connection with the classes of Sberlein and Corson compacts and also with some set theoretic problems.

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JO - Commentationes Mathematicae Universitatis Carolinae

JF - Commentationes Mathematicae Universitatis Carolinae

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Adequate families of sets and Corson compacts

Abstract

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