Superextension of the Tikhonov cube \(I^{\tau}\) is homeomorphic to \(I^{\tau}\) (Q789768)
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scientific article; zbMATH DE number 3846441
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Superextension of the Tikhonov cube \(I^{\tau}\) is homeomorphic to \(I^{\tau}\) |
scientific article; zbMATH DE number 3846441 |
Statements
Superextension of the Tikhonov cube \(I^{\tau}\) is homeomorphic to \(I^{\tau}\) (English)
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1983
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Two theorems are proved: the first one is the title, the second is the following: the superextension of AR-space is AR-space. For their proving the author uses spectra of soft mappings and \textit{E. V. Shchepin's} characteristic of \(I^{\tau}\) [Dokl. Akad. Nauk SSSR 246, 551-554 (1979; Zbl 0431.54020)].
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absolute retract space
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Tikhonov cube
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superextension of AR-space
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spectra of soft mappings
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