On the reduction of complex bordism to unoriented bordism
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- by David Copeland Johnson PDF
- Proc. Amer. Math. Soc. 39 (1973), 417-420 Request permission
Abstract:
The image of the natural transformation from the complex bordism of a CW complex $X,M{U_ \ast }(X)$, to its unoriented bordism, ${N_ \ast }(X)$, is contained in a subgroup identified with ${H_ \ast }(X;Z) \otimes {({N_ \ast })^2}$. A characterization is given for the CW complexes for which the image and the subgroup coincide.References
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Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 39 (1973), 417-420
- MSC: Primary 55B20
- DOI: https://doi.org/10.1090/S0002-9939-1973-0322853-1
- MathSciNet review: 0322853