On spaces that are \(l\)-equivalent to a disk (Q1817557)
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scientific article; zbMATH DE number 1382626
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On spaces that are \(l\)-equivalent to a disk |
scientific article; zbMATH DE number 1382626 |
Statements
On spaces that are \(l\)-equivalent to a disk (English)
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2 March 2000
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Let \(X\) be a Tychonoff space, and let \(C_p(X)\) be the space of all real-valued continuous functions on \(X\) with the pointwise convergence topology. Two Tychonoff spaces \(X\) and \(Y\) are said to be \(l\)-equivalent if the linear topological spaces \(C_p(X)\) and \(C_p(Y)\) are linearly homeomorphic. This paper gives a charactrization of Tychonoff spaces that are \(l\)-equivalent to a disk.
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linearly homeomorphic spaces
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Tychonoff space
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pointwise convergence topology
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