The integral cohomology of configuration spaces of pairs of points in real projective spaces (Q2868536)
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scientific article; zbMATH DE number 6239083
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The integral cohomology of configuration spaces of pairs of points in real projective spaces |
scientific article; zbMATH DE number 6239083 |
Statements
17 December 2013
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2-point configuration of real projective spaces
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dihedral group of order 8
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Bockstein spectral sequence
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symmetric topological complexity
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Euclidean embedding dimension
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math.AT
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The integral cohomology of configuration spaces of pairs of points in real projective spaces (English)
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The authors compute the integral cohomology ring of the configuration space of two ordered (respec. unordered) points in the \(m\)-dimensional real projective space \(P^m.\) Then, using this information they succeed in giving a complete computation of the symmetric topological complexity for the \((2^i+\delta)\)-dimensional real projective spaces (\(i\geq 0\) and \(0\leq \delta \leq 2\)).
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