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The Classification of Pin4-Bundles over a 4-Complex

Published online by Cambridge University Press:  20 November 2018

Christian Weber
Christian Weber*
Affiliation:
Max-Planck-Institut für Mathematik Gottfried-Claren-Straße 26 D-53225 Bonn Germany, email: weber@mpim-bonn.mpg.de
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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 $X$ .

Keywords

55N2555R1057S15

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 42 , Issue 2 , 01 June 1999, pp. 248 - 256
Copyright
Copyright © Canadian Mathematical Society 1999

References

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