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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



An algebraic proof that $ [\Omega ^{U}]_{2}={\germ N}^{2}$

Author: Don Porter
Journal: Proc. Amer. Math. Soc. 31 (1972), 605-608
MSC: Primary 57.10
MathSciNet review: 0288773
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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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Keywords: Unoriented cobordism, complex cobordism, Adams spectral sequence
Article copyright: © Copyright 1972 American Mathematical Society