Adequate families of sets and Corson compacts

Arkady G Leiderman, Genadij A Sokolov

Research output: Contribution to journalArticlepeer-review


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 languageEnglish
Pages (from-to)233-246
Number of pages14
JournalCommentationes Mathematicae Universitatis Carolinae
Issue number2
StatePublished - 1984


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