The torsion of the group of homeomorphisms of powers of the long line (Q2747263)
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scientific article; zbMATH DE number 1657436
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The torsion of the group of homeomorphisms of powers of the long line |
scientific article; zbMATH DE number 1657436 |
Statements
The torsion of the group of homeomorphisms of powers of the long line (English)
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7 May 2002
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long ray
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Alexander-Spanier cohomology
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torsion of homeomorphisms
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0.93302876
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0.88369507
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0.88324106
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0.8763304
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0.8760218
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0.8690587
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0.8683171
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0.86756814
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Using techniques from set theory and algebraic topology this paper investigates the order of any homeomorphism of the \(n\)th power of the long ray or long line \(\mathbb L\) having finite order: all possible orders are identified in the first case when \(n=1,2,3\) or 4 and in the second case when \(n=1\) or 2. All finite powers of \(\mathbb L\) are acyclic with respect to Alexander-Spanier cohomology.
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