An algebraic proof that [Ω^{𝑈}]₂=𝔑²

Porter, Don

doi:10.1090/S0002-9939-1972-0288773-5

An algebraic proof that $[\Omega ^{U}]_{2}=\mathfrak {N}^{2}$
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by Don Porter

Proc. Amer. Math. Soc. 31 (1972), 605-608

DOI: https://doi.org/10.1090/S0002-9939-1972-0288773-5

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Abstract:

It is often desirable to find the image of one cobordism theory in another. Milnor settled the first problem of this sort, the image of complex cobordism in unoriented cobordism, by construction of concrete generating manifolds. When such constructions are too difficult, it still may be possible to solve the problem using more algebraic methods. This note offers a proof of Milnor’s result which depends on the Adams spectral sequence and requires no ad hoc construction of manifolds.

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