Woodward, L. M. The classification of orientable vector bundles over CW-complexes of small dimension. (English) Zbl 0505.55017 Proc. R. Soc. Edinb., Sect. A 92, 175-179 (1982). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 2 ReviewsCited in 11 Documents MSC: 55R15 Classification of fiber spaces or bundles in algebraic topology 55R45 Homology and homotopy of \(B\mathrm{O}\) and \(B\mathrm{U}\); Bott periodicity 55R25 Sphere bundles and vector bundles in algebraic topology Keywords:stable orientable bundle over CW-complexes of dimension less than 9; Postnikov tower for BSO; homotopy of BSO; SO(n)-bundles over n- dimensional complexes PDFBibTeX XMLCite \textit{L. M. Woodward}, Proc. R. Soc. Edinb., Sect. A, Math. 92, 175--179 (1982; Zbl 0505.55017) Full Text: DOI References: [1] James, J. Math. Mech. 14 pp 485– (1965) [2] DOI: 10.2307/1970030 · Zbl 0124.38103 · doi:10.2307/1970030 [3] DOI: 10.1090/S0002-9904-1958-10166-4 · Zbl 0082.16602 · doi:10.1090/S0002-9904-1958-10166-4 [4] DOI: 10.2307/2372495 · Zbl 0050.39603 · doi:10.2307/2372495 [5] DOI: 10.2307/1970255 · Zbl 0085.17301 · doi:10.2307/1970255 [6] DOI: 10.1007/BF02568048 · Zbl 0036.12704 · doi:10.1007/BF02568048 [7] Thomas, Trans. Amer. Math. Soc. 96 pp 67– (1960) [8] DOI: 10.1007/BF02564562 · Zbl 0052.19501 · doi:10.1007/BF02564562 [9] Pontrjagin, Dokl. Acad. Nauk SSSR 47 pp 322– (1945) [10] DOI: 10.1090/S0002-9947-1964-0160212-4 · doi:10.1090/S0002-9947-1964-0160212-4 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.