The Hurewicz image of the $\eta_i$ family

Eccles, Peter J. and Zare, Hadi (2011) The Hurewicz image of the $\eta_i$ family. [MIMS Preprint]

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We consider the problem of detecting Mahowald's family $\eta_i \in 2 \pi^{S}_{2^i} in homology. This allows us to identify specic spherical classes in $H_* \Omega_0^{2^{i+1} - 8 + k}S^{2^i-2}$ for $0 \leq k \leq 6$. We then identify the type of the subalgebras that these classes give rise to, and calculate the $A$-module and $R$-module structure of these subalgebras. We shall the discuss the relation of these calculations to the Curtis conjecture on spherical classes in $H_* Q_0S^0$.

Item Type: MIMS Preprint
Subjects: MSC 2010, the AMS's Mathematics Subject Classification > 55 Algebraic topology
Depositing User: Ms Lucy van Russelt
Date Deposited: 14 Jan 2011
Last Modified: 20 Oct 2017 14:12

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