论文标题

Borel和真正的$ C_2 $ - Equivariant Adams光谱序列

The Borel and genuine $C_2$-equivariant Adams spectral sequences

论文作者

Ma, Sihao

论文摘要

我们发现了用于发育迟缓的真实投射光谱的经典ADAMS光谱序列,Borel $ C_2 $ Equivariant Adams光谱序列的2填充球体和2份2填充范围的真正的$ C_2 $ -CO_2 $ -Equivariant Adams Spectence。这使我们能够理解Borel Adams光谱序列的真正$ C_2 $ Equivariant Adams光谱序列。我们表明,Borel Adams光谱序列可作为经典ADAMS光谱序列计算。

We find out some relations between the classical Adams spectral sequences for stunted real projective spectra, the Borel $C_2$-equivariant Adams spectral sequence for the 2-completed sphere, and the genuine $C_2$-equivariant Adams spectral sequence for the 2-completed sphere. This allows us to understand the genuine $C_2$-equivariant Adams spectral sequence from the Borel Adams spectral sequences. We show that the Borel Adams spectral sequence is computable as a classical Adams spectral sequence.

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