P. Eccles

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math.AT2009

On the form of potential spherical classes in $H_{*} Q_{0} S^{0}$

Peter J. Eccles, Hadi Zare

This note is about spherical classes in $H_{*} Q_{0} S^{0}$ . A conjecture, due to Ed. Curtis, predicts that only Hopf invariant one and Kervaire invariant one elements will give rise to sp…

math.AT2009

The Hurewicz image of the $η_{i}$ family, a polynomial subalgebra of $H_{*} Ω_{0}^{2^{i + 1} - 8 + k} S^{2^{i} - 2}$

Peter J. Eccles, Hadi Zare

We consider the problem of calculating the Hurewicz image of Mahowald's family $η_{i} \in_{2} π_{2^{i}}^{S}$ . This allows us to identify specific spherical classes in $H_*Ω_0^{2^{i+1}-8+k}…

On the form of potential spherical classes in H∗​Q0​S0

The Hurewicz image of the ηi​ family, a polynomial subalgebra of H∗​Ω02i+1−8+k​S2i−2

On the form of potential spherical classes in $H_{*} Q_{0} S^{0}$

The Hurewicz image of the $η_{i}$ family, a polynomial subalgebra of $H_{*} Ω_{0}^{2^{i + 1} - 8 + k} S^{2^{i} - 2}$