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• W2099829523 abstract "A compact space is called a Dugundji compactum if for every compact containing , there exists a linear extension operator which preserves nonnegativity and maps constants into constants. It is known that every compact group is a Dugundji compactum. In this paper we show that compacta connected in a natural way with topological groups enjoy the same property. For example, in each of the following cases, the compact space is a Dugundji compactum: 1) is a retract of an arbitrary topological group; 2) , where is a pseudocompact space on which some -bounded topological group acts transitively and continuously. Bibliography: 57 titles." @default.
• W2099829523 created "2016-06-24" @default.
• W2099829523 creator A5031066382 @default.
• W2099829523 date "1990-02-28" @default.
• W2099829523 modified "2023-09-23" @default.
• W2099829523 title "TOPOLOGICAL GROUPS AND DUGUNDJI COMPACTA" @default.
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• W2099829523 doi "https://doi.org/10.1070/sm1990v067n02abeh002098" @default.
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