The Classification of Principal PUn -Bundles over a 4-Complex

DOI10.1112/jlms/s2-25.3.513zbMath0495.55005OpenAlexW2071836086MaRDI QIDQ3959116

Lyndon M. Woodward

Publication date: 1982

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/jlms/s2-25.3.513

zbMATH Keywords

characteristic classesPostnikov decompositionclassification of principal bundles with the projective unitary group as structure group over 4-dimensional complexes

Mathematics Subject Classification ID

Homology of classifying spaces and characteristic classes in algebraic topology (55R40) Classification of fiber spaces or bundles in algebraic topology (55R15)

Related Items (8)

Classification of principal bundles and Lie groupoids with prescribed gauge group bundle ⋮ Equivalence bimodule between spherical noncommutative tori ⋮ A note on the topology of irreducible \(\mathbf{SO}(3)\)-manifolds ⋮ Topology and Wilson lines: global aspects of the double copy ⋮ Special metrics and triality ⋮ On the classification of oriented 3-plane bundles over a 6-complex ⋮ On the moduli spaces of commuting elements in the projective unitary groups ⋮ Infinite CW-complexes, Brauer groups and phantom cohomology

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