Abstract
It is shown that most possibly truncated power series rings admit
uncountably many filtered
Open AccessOn
On λ
Received19 Jul 2005
Accepted12 Apr 2006
Published12 Jul 2006
References
J. F. Adams, “On the non-existence of elements of Hopf invariant one,” Annals of Mathematics. Second Series, vol. 72, no. 1, pp. 20–104, 1960.
View at: Google Scholar | Zentralblatt MATH | MathSciNetJ. F. Adams, “Vector fields on spheres,” Annals of Mathematics. Second Series, vol. 75, pp. 603–632, 1962.
View at: Google Scholar | Zentralblatt MATH | MathSciNetM. F. Atiyah and D. O. Tall, “Group representations, -rings and the -homomorphism,” Topology, vol. 8, no. 3, pp. 253–297, 1969.
View at: Publisher Site | Google Scholar | Zentralblatt MATH | MathSciNetA. Hatcher, Algebraic Topology, Cambridge University Press, Cambridge, 2002.
View at: Google Scholar | Zentralblatt MATH | MathSciNetD. Knutson, -Rings and the Representation Theory of the Symmetric Group, vol. 308 of Lecture Notes in Mathematics, Springer, Berlin, 1973.
View at: Google Scholar | Zentralblatt MATH | MathSciNetC. A. McGibbon, “Self-maps of projective spaces,” Transactions of the American Mathematical Society, vol. 271, no. 1, pp. 325–346, 1982.
View at: Google Scholar | Zentralblatt MATH | MathSciNetD. Notbohm, “Maps between classifying spaces and applications,” Journal of Pure and Applied Algebra, vol. 89, no. 3, pp. 273–294, 1993.
View at: Publisher Site | Google Scholar | Zentralblatt MATH | MathSciNetD. L. Rector, “Loop structures on the homotopy type of ,” in Symposium on Algebraic Topology (Battelle Seattle Res. Center, Seattle, Wash, 1971), vol. 249 of Lecture Notes in Math., pp. 99–105, Springer, Berlin, 1971.
View at: Google Scholar | Zentralblatt MATH | MathSciNetC. Wilkerson, “Lambda-rings, binomial domains, and vector bundles over ,” Communications in Algebra, vol. 10, no. 3, pp. 311–328, 1982.
View at: Google Scholar | Zentralblatt MATH | MathSciNetD. Yau, “Moduli space of filtered -ring structures over a filtered ring,” International Journal of Mathematics and Mathematical Sciences, vol. 2004, no. 39, pp. 2065–2084, 2004.
View at: Publisher Site | Google Scholar | MathSciNetD. Yau, “On adic genus and lambda-rings,” Transactions of the American Mathematical Society, vol. 357, no. 4, pp. 1341–1348, 2005.
View at: Publisher Site | Google Scholar | Zentralblatt MATH | MathSciNet
Copyright
Copyright © 2006 Hindawi Publishing Corporation. This is an open access article distributed under the
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.