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The algebraic Atiyah-Hirzebruch spectral sequence of real projective spectra

Guozhen Wang Zhouli Xu

Algebraic Topology and General Topology mathscidoc:1912.43834

arXiv preprint arXiv:1601.02185, 2016.1
In this note, we use Curtis's algorithm and the Lambda algebra to compute the algebraic Atiyah-Hirzebruch spectral sequence of the suspension spectrum of \mathbb {R} P^\infty with the aid of a computer, which gives us its Adams \mathbb {R} P^\infty -page in the range of \mathbb {R} P^\infty . We also compute the transfer map on the Adams \mathbb {R} P^\infty -pages. These data are used in our computations of the stable homotopy groups of \mathbb {R} P^\infty in [6] and of the stable homotopy groups of spheres in [7].
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@inproceedings{guozhen2016the,
  title={The algebraic Atiyah-Hirzebruch spectral sequence of real projective spectra},
  author={Guozhen Wang, and Zhouli Xu},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224210104670996398},
  booktitle={arXiv preprint arXiv:1601.02185},
  year={2016},
}
Guozhen Wang, and Zhouli Xu. The algebraic Atiyah-Hirzebruch spectral sequence of real projective spectra. 2016. In arXiv preprint arXiv:1601.02185. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224210104670996398.
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