On the Brouwer dimension of compact spaces (Q1810308)
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scientific article; zbMATH DE number 1928386
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the Brouwer dimension of compact spaces |
scientific article; zbMATH DE number 1928386 |
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On the Brouwer dimension of compact spaces (English)
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15 June 2003
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This paper deals with the relation between \(\dim X\) and a so-called ``dimensionsgrad'' which is denoted by \(\text{Dg }X\) for any set \(X\). The goal of this paper is to prove \(\dim X\leq \text{Dg }X\) for an arbitrary compact space \(X\). The author also shows that the equality \(\dim X= \text{Dg }X\) does not hold even for a first countable compact space \(X\).
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Brouwer dimension
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countable compact space
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