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arxiv: 1101.1215 · v1 · pith:OP564IFUnew · submitted 2011-01-06 · 🧮 math.AT

On spherical classes in H_*QX

classification 🧮 math.AT
keywords classessphericalwhenbordismboundcomplexconjecturecontrol
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We give an upper bound on the set of spherical classes in $H_*QX$ when $X = P,S^1$. This is related to the Curtis conjecture on spherical classes in $H_*Q_0S^0$. The results also provide some control over the bordism classes on of immersions when $X$ is a Thom complex.

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