Absolute F-valued retracts and spaces of functions in the topology of pointwise convergence (Q1090963)
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scientific article; zbMATH DE number 4009308
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Absolute F-valued retracts and spaces of functions in the topology of pointwise convergence |
scientific article; zbMATH DE number 4009308 |
Statements
Absolute F-valued retracts and spaces of functions in the topology of pointwise convergence (English)
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1986
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The author considers the functors \(F:SP^ n\), \(\exp_ n\) and \(P_ n\). Some properties of the F-valued absolute retracts are proved and some connections between them and the strongly Dugundji spaces are found. For any open subsets \(U,V\subset R^ n\) the spaces \(C_ p(U)\) and \(C_ p(V)\) are proved to be linearly homeomorphic.
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class of bicompacta
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nth hypersymmetric power
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functor of probability measures
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Peano continua
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F-valued absolute retracts
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strongly Dugundji spaces
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0.9115941
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0.90552306
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0.90237325
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0.89678305
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