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The Classification of Pin4-Bundles over a 4-Complex
Published online by Cambridge University Press: 20 November 2018
Abstract
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In this paper we show that the Lie-group 
$\text{Pi}{{\text{n}}_{4}}$ is isomorphic to the semidirect product 
$\text{(S}{{\text{U}}_{2}}\times \text{S}{{\text{U}}_{2}})\text{Z/2}$ where 
$Z/2$ operates by flipping the factors. Using this structure theorem we prove a classification theorem for $\text{Pi}{{\text{n}}_{4}}$-bundles over a finite 4-complex 
$X$.
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- Research Article
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- Copyright © Canadian Mathematical Society 1999
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