References
Bass, H.: AlgebraicK-theory. New York: W. A. Benjamin 1968.
Claborn, L., Fossum, R.: Generalizations of the notion of class group. Illinois J. of Math.12, 228–253 (1968).
Fossum, R. M.: Vector bundles over spheres are algebraic. Inventiones math.8, 222–225 (1969).
Husemoller, D.: Fibre bundles. New York: Academic Press 1966.
Lissner, D., Moore, N.: Projective modules over certain rings of quotients of affine rings. J. of Algebra15, 72–80 (1970).
Serre, J. P.: Modules projectifs et espaces fibrés à fibre vectorielle. Sém. Dubreil, No. 23 (1957–58).
Steenrod, N.: The topology of fibre bundles. Princeton University Press 1951.
Swan, R. G.: Vector bundles and projective modules. Trans. Amer. Math. Soc.105, 264–277 (1962).
—: AlgebraicK-theory. Lecture notes in mathematics 76. Berlin-Heidelberg-New York: Springer 1968.
Author information
Authors and Affiliations
Additional information
This research was partially supported by N.A.S.A. and was extracted from the author's Ph.D. dissertation.
Rights and permissions
About this article
Cite this article
Moore, N. Algebraic vector bundles over the 2-sphere. Invent Math 14, 167–172 (1971). https://doi.org/10.1007/BF01405362
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01405362