The $H$-deviation of a lift
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- by Frank Williams PDF
- Proc. Amer. Math. Soc. 104 (1988), 1291-1295 Request permission
Abstract:
Let $X$ be an $H$-space, $x \in X$ a primitive element, and $\alpha$ a stable primary operation that vanishes on $x$. Let $y$ represent $x$ in ${H^*}({P_2}X)$. (${P_2}X$ is the projective plane of $X$.) Let $\tilde D$ be the $H$-deviation of the lift of $x$ to the two-stage Postnikov system with $k$-invariant $\alpha$. We obtain a formula that relates $\tilde D$ to the representation of $\alpha (y)$ as a product in ${H^*}({P_2}X)$.References
- William Browder and Emery Thomas, On the projective plane of an $H$-space, Illinois J. Math. 7 (1963), 492–502. MR 151974
- James Stasheff, $H$-spaces from a homotopy point of view, Lecture Notes in Mathematics, Vol. 161, Springer-Verlag, Berlin-New York, 1970. MR 0270372, DOI 10.1007/BFb0065896
- Alexander Zabrodsky, Hopf spaces, North-Holland Mathematics Studies, Vol. 22, North-Holland Publishing Co., Amsterdam-New York-Oxford, 1976. MR 0440542
Additional Information
- © Copyright 1988 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 104 (1988), 1291-1295
- MSC: Primary 55P45; Secondary 55P35, 55S20
- DOI: https://doi.org/10.1090/S0002-9939-1988-0931748-2
- MathSciNet review: 931748