An algebraic proof that

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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Additional Information

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

Keywords:
Unoriented cobordism,
complex cobordism,
Adams spectral sequence

Article copyright:
© Copyright 1972
American Mathematical Society