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The Adams–Mahowald conjecture on real projective spaces

Published online by Cambridge University Press:  24 October 2008

Wen-Hsiung Lin
Wen-Hsiung Lin
Affiliation:
National Cheng-Chi University, Taipei, Taiwan, Republic of China
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Extract

Let A denote the mod 2 Steenrod algebra. Let ℤ2[x, x−l] be the (graded) ring of finite Laurent series over ℤ2 in the variable x with dim (x) = 1. ℤ2[x, x−1] is a module over the Steenrod algebra A by

where are binomial coefficients modulo 2 and m > 0 is large compared with |k| and i. Let M be the A-submodule of ℤ2[x, x−1 ] generated by all powers xi with i ≠ −1. It is easy to see that ℤ2 [,x, x−1]/M ≅ σ−1ℤ2 (means ℤ2 on dimension − 1). Let ρ: ℤ2[x, x−1] → σ−1 ℤ2 be the projection map.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 86 , Issue 2 , September 1979 , pp. 237 - 242
Copyright
Copyright © Cambridge Philosophical Society 1979

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References

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